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following the selection of the gravitational universe by esa, and the successful flight of lisa pathfinder, the lisa consortium now proposes a 4 year mission in response to esa's call for missions for l3. the observatory will be based on three arms with six active laser links, between three identical spacecraft in a tr...
laser interferometer space antenna
we conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. we conjecture that the influence of chaos on this corr...
a bound on chaos
when absorbing boundary conditions are used to evaporate a black hole in ads/cft, we show that there is a phase transition in the location of the quantum ryu-takayanagi surface, at precisely the page time. the new rt surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time ...
entanglement wedge reconstruction and the information paradox
in this review, recent progress on the black hole information problem that involves a new understanding of how to calculate the entropy of hawking radiation is described. the review shows how the method for computing gravitational fine-grained entropy, developed over the past 15 years, can be extended to capture the en...
the entropy of hawking radiation
the information paradox can be realized in anti-de sitter spacetime joined to a minkowski region. in this setting, we show that the large discrepancy between the von neumann entropy as calculated by hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. these sad...
replica wormholes and the entropy of hawking radiation
bulk quantum fields are often said to contribute to the generalized entropy a/4 gn +sbulk only at o(1). nonetheless, in the context of evaporating black holes, o(1/gn ) gradients in sbulk can arise due to large boosts, introducing a quantum extremal surface far from any classical extremal surface. we examine the effect...
the entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
we consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. in such a theory, finding quantum extremal surfaces becomes equivalent to finding the rt/hrt surfaces in the higher-dimensional theory. using this we compute the entropy of hawking radiation and argue that it fol...
the page curve of hawking radiation from semiclassical geometry
horizon-scale images of black holes (bhs) and their shadows have opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. we consider a wide range of well-motivated deviations from classical general relativity (gr) bh solutions, and constrain them using the event horizon ...
horizon-scale tests of gravity theories and fundamental physics from the event horizon telescope image of sagittarius a (*)
recent work has shown how to obtain the page curve of an evaporating black hole from holographic computations of entanglement entropy. we show how these computations can be justified using the replica trick, from geometries with a spacetime wormhole connecting the different replicas. in a simple model, we study the pag...
replica wormholes and the black hole interior
this is a redacted transcript of a course given by the author at harvard in spring semester 2016. it contains a pedagogical overview of recent developments connecting the subjects of soft theorems, the memory effect and asymptotic symmetries in four-dimensional qed, nonabelian gauge theory and gravity with applications...
lectures on the infrared structure of gravity and gauge theory
in this article, we provide a review of the current state of the research of the black hole shadow, focusing on analytical (as opposed to numerical and observational) studies. we start with particular attention to the definition of the shadow and its relation to the often used concepts of escape cone, critical impact p...
calculating black hole shadows: review of analytical studies
we argue that the late time behavior of horizon fluctuations in large anti-de sitter (ads) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems. our main tool is the sachdev-ye-kitaev (syk) model, which we use as a simple model of a black hole. we use an analytically continued...
black holes and random matrices
gravitational waves enable tests of general relativity in the highly dynamical and strong-field regime. using events detected by ligo-virgo up to 1 october 2019, we evaluate the consistency of the data with predictions from the theory. we first establish that residuals from the best-fit waveform are consistent with det...
tests of general relativity with binary black holes from the second ligo-virgo gravitational-wave transient catalog
recent work has shown how to obtain the page curve of an evaporating black hole from holographic computations of entanglement entropy. we show how these computations can be justified using the replica trick, from geometries with a spacetime wormhole connecting the different replicas. in a simple model, we study the pag...
replica wormholes and the black hole interior
the ligo detection of gw150914 provides an unprecedented opportunity to study the two-body motion of a compact-object binary in the large-velocity, highly nonlinear regime, and to witness the final merger of the binary and the excitation of uniquely relativistic modes of the gravitational field. we carry out several in...
tests of general relativity with gw150914
we study a two dimensional dilaton gravity system, recently examined by almheiri and polchinski, which describes near extremal black holes, or more generally, nearly $ads_2$ spacetimes. the asymptotic symmetries of $ads_2$ are all the time reparametrizations of the boundary. these symmetries are spontaneously broken by...
conformal symmetry and its breaking in two dimensional nearly anti-de-sitter space
it has recently been shown that bondi-van der burg-metzner-sachs supertranslation symmetries imply an infinite number of conservation laws for all gravitational theories in asymptotically minkowskian spacetimes. these laws require black holes to carry a large amount of soft (i.e., zero-energy) supertranslation hair. th...
soft hair on black holes
we describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. an arbitrary-spin formalism is generally required in the classical limit. by matching the tree and one-loop amplitudes o...
spinning black hole binary dynamics, scattering amplitudes, and effective field theory
we give an exposition of the syk model with several new results. a non-local correction to the schwarzian effective action is found. the same action is obtained by integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. we also discuss general properties of out-of-time-order correlators.
the soft mode in the sachdev-ye-kitaev model and its gravity dual
we describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. our approach combines methods for integration and matching adapted from effective field theory, generalized unitarity, and the double-copy cons...
black hole binary dynamics from the double copy and effective theory
in this paper we discuss the anatomy of frequency-domain gravitational-wave signals from nonprecessing black-hole coalescences with the goal of constructing accurate phenomenological waveform models. we first present new numerical-relativity simulations for mass ratios up to 18, including spins. from a comparison of di...
frequency-domain gravitational waves from nonprecessing black-hole binaries. i. new numerical waveforms and anatomy of the signal
our earlier paper "complexity equals action" conjectured that the quantum computational complexity of a holographic state is given by the classical action of a region in the bulk (the "wheeler-dewitt" patch). we provide calculations for the results quoted in that paper, explain how it fits into a broader (tensor) netwo...
complexity, action, and black holes
the detection of gravitational waves by advanced ligo and advanced virgo provides an opportunity to test general relativity in a regime that is inaccessible to traditional astronomical observations and laboratory tests. we present four tests of the consistency of the data with binary black hole gravitational waveforms ...
tests of general relativity with the binary black hole signals from the ligo-virgo catalog gwtc-1
it is commonly believed that the ringdown signal from a binary coalescence provides a conclusive proof for the formation of an event horizon after the merger. this expectation is based on the assumption that the ringdown waveform at intermediate times is dominated by the quasinormal modes of the final object. we point ...
is the gravitational-wave ringdown a probe of the event horizon?
a variety of two-dimensional materials have been reported in recent years, yet single-element systems such as graphene and black phosphorus have remained rare. boron analogues have been predicted, as boron atoms possess a short covalent radius and the flexibility to adopt sp2 hybridization, features that favour the for...
experimental realization of two-dimensional boron sheets
we consider an ads$_2$ black hole in equilibrium with a bath, which we take to have a dual description as (0+1)-dimensional quantum mechanical system coupled to a (1+1)-dimensional field theory serving as the bath. we compute the entropies of both the quantum mechanical degrees of freedom and of the bath separately, wh...
islands outside the horizon
the grand challenges of contemporary fundamental physics—dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem—all involve gravity as a key component. and of all gravitational phenomena, black holes stand out in their elegant simplicity, while harbourin...
black holes, gravitational waves and fundamental physics: a roadmap
we consider a general einstein-scalar-gauss-bonnet theory with a coupling function f (ϕ ) . we demonstrate that black-hole solutions appear as a generic feature of this theory since a regular horizon and an asymptotically flat solution may be easily constructed under mild assumptions for f (ϕ ). we show that the existi...
evasion of no-hair theorems and novel black-hole solutions in gauss-bonnet theories
we conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a wheeler-dewitt patch. we illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti-de sitter spacetime, as well as black holes perturbed with ...
holographic complexity equals bulk action?
we develop models of 1+1 dimensional dilaton gravity describing flows to ads2 from higher dimensional ads and other spaces. we use these to study the effects of backreaction on holographic correlators. we show that this scales as a relevant effect at low energies, for compact transverse spaces. we also discuss effects ...
models of ads2 backreaction and holography
we present a method to construct the extended kähler cone of any calabi-yau threefold by using gopakumar-vafa invariants to identify all geometric phases that are related by flops or weyl reflections. in this way we obtain the kähler moduli spaces of all favorable calabi-yau threefold hypersurfaces with h1,1 ≤ 4, inclu...
moduli space reconstruction and weak gravity
late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in ads coupled to an asymptotic non-gravitational bath. a natural question is how this observation can be extended to gravitational systems. to gain insight into this question, we explore how this sto...
information transfer with a gravitating bath
we point out a connection between the emergence of bulk locality in ads/cft and the theory of quantum error correction. bulk notions such as bogoliubov transformations, location in the radial direction, and the holographic entropy bound all have natural cft interpretations in the language of quantum error correction. w...
bulk locality and quantum error correction in ads/cft
we investigate a dilaton gravity model in ads2 proposed by almheiri and polchinski [1] and develop a 1d effective description in terms of a dynamical boundary time with a schwarzian derivative action. we show that the effective model is equivalent to a 1d version of liouville theory, and investigate its dynamics and sy...
an investigation of ads2 backreaction and holography
recently a d-dimensional regularization approach leading to the non-trivial (3 +1 ) -dimensional einstein-gauss-bonnet (egb) effective description of gravity was formulated which was claimed to bypass the lovelock's theorem and avoid ostrogradsky instability. later it was shown that the regularization is possible only ...
quasinormal modes, stability and shadows of a black hole in the 4d einstein-gauss-bonnet gravity
we comment on the recently introduced gauss-bonnet gravity in four dimensions. we argue that it does not make sense to consider this theory to be defined by a set of d → 4 solutions of the higher-dimensional gauss-bonnet gravity. we show that a well-defined d → 4 limit of gauss-bonnet gravity is obtained generalizing a...
on taking the d → 4 limit of gauss-bonnet gravity: theory and solutions
we construct a nearly-$ads_2$ solution describing an eternal traversable wormhole. the solution contains negative null energy generated by quantum fields under the influence of an external coupling between the two boundaries. in parallel, we discuss two syk systems coupled by a relevant interaction. the physics of the ...
eternal traversable wormhole
very compact objects probe extreme gravitational fields and may be the key to understand outstanding puzzles in fundamental physics. these include the nature of dark matter, the fate of spacetime singularities, or the loss of unitarity in hawking evaporation. the standard astrophysical description of collapsing objects...
testing the nature of dark compact objects: a status report
motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. we provide a quantum circuit model for the preparation of gaussian states, in particular the ground state, in a free scalar field theory for general dimensions. applying the geometric approach o...
circuit complexity in quantum field theory
in finite entropy systems, real-time partition functions do not decay to zero at late time. instead, assuming random matrix universality, suitable averages exhibit a growing "ramp" and "plateau" structure. deriving this non-decaying behavior in a large $n$ collective field description is a challenge related to one vers...
a semiclassical ramp in syk and in gravity
in ordinary gravitational theories, any local bulk operator in an entanglement wedge is accompanied by a long-range gravitational dressing that extends to the asymptotic part of the wedge. islands are the only known examples of entanglement wedges that are disconnected from the asymptotic region of spacetime. in this p...
inconsistency of islands in theories with long-range gravity
we propose a procedure for the d → 4 limit of einstein-gauss-bonnet (egb) gravity that leads to a well defined action principle in four dimensions. our construction is based on compactifying d-dimensional egb gravity on a (d - 4)-dimensional maximally symmetric space followed by redefining the gauss-bonnet coupling α →...
horndeski gravity as d → 4 limit of gauss-bonnet
recently, a novel 4d einstein-gauss-bonnet gravity was formulated by glavan and lin (phys rev lett 124(8):081301, 2020). although whether the theory is well defined is currently debatable, the spherically symmetric black hole solution is still meaningful and worthy of study. in this paper, we study the geodesic motions...
innermost stable circular orbit and shadow of the 4d einstein-gauss-bonnet black hole
tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. they have been used to construct explicit toy models realizing many of the interesting structural features of the ads/cft correspondence, including the non-uniqueness of bulk operator reconstruction i...
holographic duality from random tensor networks
we study products of precursors of spatially local operators, , where wx ( t) = e - ihtwxeiht . using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in t. in a lattice system, products of such operators can be represented using tensor ne...
localized shocks
we introduce a framework for quantifying random matrix behavior of 2d cfts and ads3 quantum gravity. we present a 2d cft trace formula, precisely analogous to the gutzwiller trace formula for chaotic quantum systems, which originates from the sl(2, &z;) spectral decomposition of the virasoro primary density of states. ...
ads3/rmt2 duality
we comment on the role of the graviton mass in recent calculations of the page curve using holographic ideas. all reliable calculations of the page curve in more than 2+1 spacetime dimensions have been performed in systems with massive gravitons. a crucial ingredient in these calculations is the formation of islands, r...
massive islands
only numerical relativity simulations can capture the full complexities of binary black hole mergers. these simulations, however, are prohibitively expensive for direct data analysis applications such as parameter estimation. we present two fast and accurate surrogate models for the outputs of these simulations: the fi...
surrogate models for precessing binary black hole simulations with unequal masses
we provide evidence that the classical scattering of two spinning black holes is controlled by the soft expansion of exchanged gravitons. we show how an exponentiation of cachazo-strominger soft factors, acting on massive higher-spin amplitudes, can be used to find spin contributions to the aligned-spin scattering angl...
scattering of spinning black holes from exponentiated soft factors
in [1] we gave a precise holographic calculation of chaos at the scrambling time scale. we studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. a similar analysis applies to squared commutators and other out-of-time-order one-sided correla...
stringy effects in scrambling
we propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. the amplitudes in this effective theory are constructed ...
classical gravitational scattering from a gauge-invariant double copy
after turning on an interaction that couples the two boundaries of an eternal btz black hole, we find a quantum matter stress tensor with negative average null energy, whose gravitational backreaction renders the einstein-rosen bridge traversable. such a traversable wormhole has an interesting interpretation in the con...
traversable wormholes via a double trace deformation
we propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum, replacing them with a nonperturbative shift of the btz extremality bound. we argue th...
the path integral of 3d gravity near extremality; or, jt gravity with defects as a matrix integral
this review article presents the progress made over the last decade, since the introduction of effective field theories (efts) into post-newtonian (pn) gravity. these have been put forward in the context of gravitational waves (gws) from the compact binary inspiral. the mature development of this interdisciplinary fiel...
effective field theories of post-newtonian gravity: a comprehensive review
a precise link is derived between scalar-graviton s-matrix elements and expectation values of operators in a worldline quantum field theory (wqft), both used to describe classical scattering of black holes. the link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagat...
classical black hole scattering from a worldline quantum field theory
we present imrphenomxphm, a phenomenological frequency-domain model for the gravitational-wave signal emitted by quasicircular precessing binary black holes, which incorporates multipoles beyond the dominant quadrupole in the precessing frame. the model is a precessing extension of imrphenomxhm, [c. garcía-quirós et al...
computationally efficient models for the dominant and subdominant harmonic modes of precessing binary black holes
we compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. these are euclidean wormholes, which smoothly interpolate between two asymptotically euclidean ads3 regions with torus boundary. from our results we obtain the spect...
ads3 gravity and random cft
the syk model is a quantum mechanical model that has been proposed to be holographically dual to a 1 + 1-dimensional model of a quantum black hole. an emergent "gravitational" mode of this model is governed by an unusual action that has been called the schwarzian action. it governs a reparametrization of a circle. we s...
fermionic localization of the schwarzian theory
we develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. we then apply this formalism to minimally coupled einstein-gravity amplitudes for the scattering of massive spin 1/2 and spin 1 particles with a massive scalar, constr...
observables and amplitudes for spinning particles and black holes
in this paper we use the ads/cft correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. we first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with a cft dual would lead to an inconsistency in that cft, and thus that there are ...
symmetries in quantum field theory and quantum gravity
we present a new frequency-domain phenomenological model of the gravitational-wave signal from the inspiral, merger and ringdown of nonprecessing (aligned-spin) black-hole binaries. the model is calibrated to 19 hybrid effective-one-body-numerical-relativity waveforms up to mass ratios of 1 ∶18 and black-hole spins of ...
frequency-domain gravitational waves from nonprecessing black-hole binaries. ii. a phenomenological model for the advanced detector era
we provide a general protocol to measure out-of-time-order correlation functions. these correlation functions are of broad theoretical interest for diagnosing the scrambling of quantum information in interacting quantum systems and have recently received particular attention in the study of chaos and black holes within...
measuring the scrambling of quantum information
the ability to detect light over a broad spectral range is central to practical optoelectronic applications and has been successfully demonstrated with photodetectors of two-dimensional layered crystals such as graphene and mos2. however, polarization sensitivity within such a photodetector remains elusive. here, we de...
polarization-sensitive broadband photodetector using a black phosphorus vertical p-n junction
recently leutheusser and liu [1, 2] identified an emergent algebra of type iii1 in the operator algebra of n = 4 super yang-mills theory for large n. here we describe some 1/n corrections to this picture and show that the emergent type iii1 algebra becomes an algebra of type ii∞. the type ii∞ algebra is the crossed pro...
gravity and the crossed product
we examine models of fermions with infinite-range interactions that realize non-fermi liquids with a continuously variable u(1) charge density q and a nonzero entropy density s at vanishing temperature. real-time correlators of operators carrying u(1) charge q at a low temperature t are characterized by a q -dependent ...
bekenstein-hawking entropy and strange metals
we compute classical gravitational observables for the scattering of two spinless black holes in general relativity and n =8 supergravity in the formalism of kosower, maybee, and o'connell (kmoc). we focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at o (g3) ...
radiative classical gravitational observables at o (g3) from scattering amplitudes
we compute the next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-bps black holes in n = 8 supergravity. we propose criteria, generalizing explicit calculations at next-to-leading order, for determining the terms in amplitudes that contribute to lo...
the sub-leading scattering waveform from amplitudes
in holographic duality an eternal anti-de sitter black hole is described by two copies of the boundary conformal field theory in the thermal field double state. in this paper we provide explicit constructions in the boundary theory of infalling time evolutions which can take bulk observers behind the horizon. the const...
emergent times in holographic duality
the dynamics of quantum information in strongly interacting systems, known as quantum information scrambling, has recently become a common thread in our understanding of black holes, transport in exotic non-fermi liquids, and many-body analogs of quantum chaos. to date, verified experimental implementations of scrambli...
quantum information scrambling on a superconducting qutrit processor
we construct a type ii∞ von neumann algebra that describes the large n physics of single-trace operators in ads/cft in the microcanonical ensemble, where there is no need to include perturbative 1/n corrections. using only the extrapolate dictionary, we show that the entropy of semiclassical states on this algebra is h...
large n algebras and generalized entropy
it has been shown that a special set of three-point amplitudes between two massive spinning states and a graviton reproduces the linearised stress-energy tensor for a kerr black hole in the classical limit. in this work we revisit this result and compare it to the analysis of the amplitudes describing the interaction o...
classical limit of higher-spin string amplitudes
we study various aspects of the carroll limit in which the speed of light is sent to zero. a large part of this paper is devoted to the quantization of carroll field theories. we show that these exhibit infinite degeneracies in the spectrum and may suffer from non-normalizable ground states. as a consequence, partition...
carroll stories
long ago, newman and janis showed that a complex deformation z → z + ia of the schwarzschild solution produces the kerr solution. the underlying explanation for this relationship has remained obscure. the complex deformation has an electromagnetic counterpart: by shifting the coloumb potential, we obtain the em field o...
kerr black holes as elementary particles
we present a holographic derivation of the entropy of supersymmetric asymp-totically ads5 black holes. we define a bps limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. we show that in this limit the black hole entropy is the legend...
microscopic origin of the bekenstein-hawking entropy of supersymmetric ads5 black holes
we observe spontaneous hawking radiation, stimulated by quantum vacuum fluctuations, emanating from an analogue black hole in an atomic bose-einstein condensate. correlations are observed between the hawking particles outside the black hole and the partner particles inside. these correlations indicate an approximately ...
observation of quantum hawking radiation and its entanglement in an analogue black hole
the gravitational wave strain emitted by a perturbed black hole (bh) ringing down is typically modeled analytically using first-order bh perturbation theory. in this letter, we show that second-order effects are necessary for modeling ringdowns from bh merger simulations. focusing on the strain's (ℓ,m )=(4 ,4 ) angular...
nonlinearities in black hole ringdowns
we compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in newton's constant, o (g3) , and all orders in velocity. by analytic continuation into the bound state regime, we obtain the o (g3) energy loss in elliptic orbits. this provides ...
gravitational bremsstrahlung from reverse unitarity
a quantum extremal island suggests that a region of spacetime is encoded in the quantum state of another system, like the encoding of the black hole interior in hawking radiation. we study conditions for islands to appear in general spacetimes, with or without black holes. they must violate bekenstein's area bound in a...
islands in cosmology
we study various aspects of wormholes that are made traversable by an interaction beween the two asymptotic boundaries. we concentrate on the case of nearly-$ads_2$ gravity and discuss a very simple mechanical picture for the gravitational dynamics. we derive a formula for the two sided correlators that includes the ef...
diving into traversable wormholes
we present event horizon telescope (eht) 1.3 mm measurements of the radio source located at the position of the supermassive black hole sagittarius a* (sgr a*), collected during the 2017 april 5-11 campaign. the observations were carried out with eight facilities at six locations across the globe. novel calibration met...
first sagittarius a* event horizon telescope results. ii. eht and multiwavelength observations, data processing, and calibration
it is possible to infer the mass and spin of the remnant black hole from binary black hole mergers by comparing the ringdown gravitational wave signal to results from studies of perturbed kerr spacetimes. typically, these studies are based on the fundamental quasinormal mode of the dominant ℓ=m =2 harmonic. by modeling...
black hole ringdown: the importance of overtones
using n = 8 supergravity as a theoretical laboratory, we extract the 3pm gravitational eikonal for two colliding massive scalars from the classical limit of the corresponding elastic two-loop amplitude. we employ the eikonal phase to obtain the physical deflection angle and to show how its non-relativistic (nr) and ult...
the eikonal approach to gravitational scattering and radiation at o (g3)
the covariant phase space method of iyer, lee, wald, and zoupas gives an elegant way to understand the hamiltonian dynamics of lagrangian field theories without breaking covariance. the original literature however does not systematically treat total derivatives and boundary terms, which has led to some confusion about ...
covariant phase space with boundaries
when two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. according to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. an observation of more than one ringdown mode can tes...
multimode quasinormal spectrum from a perturbed black hole
motivated by conceptual problems in quantum theories of gravity, the gravitational eikonal approach, inspired by its electromagnetic predecessor, has been successfully applied to the transplanckian energy collisions of elementary particles and strings since the late eighties, and to string-brane collisions in the past ...
the gravitational eikonal: from particle, string and brane collisions to black-hole encounters
we calculate the inelastic 2 → 3 one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. we focus on the near-forward, or classical, limit. our results include the leading and subleading orders in the soft-region expansion, wh...
inelastic exponentiation and classical gravitational scattering at one loop
these lectures give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the firewall paradox and its various cousins. an introduction is also given to holography and the anti-de sitter/conformal field theory (ads/cft) correspondence, focusing ...
jerusalem lectures on black holes and quantum information
we evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (ca) and the complexity=volume (cv) conjectures. we conclude using the cv conjecture that the rate of change of complexity is a monotonically increasing function of time, which satur...
on the time dependence of holographic complexity
we present a complete discussion of the boundary term in the action functional of general relativity when the boundary includes null segments in addition to the more usual timelike and spacelike segments. we confirm that ambiguities appear in the contribution from a null segment, because it depends on an arbitrary choi...
gravitational action with null boundaries
from the s-matrix of spinning particles, we extract the 2 pm conservative potential for binary spinning black holes up to quartic order in spin operators. an important ingredient is the exponentiated gravitational compton amplitude in the classical spin-limit for all graviton helicity sectors. the validity of the resul...
the 2pm hamiltonian for binary kerr to quartic in spin
we give arguments for the existence of a thermodynamics of quantum complexity that includes a "second law of complexity." to guide us, we derive a correspondence between the computational (circuit) complexity of a quantum system of k qubits, and the positional entropy of a related classical system with 2k degrees of fr...
second law of quantum complexity
quantum scattering amplitudes for massive matter have received new attention in connection to classical calculations relevant to gravitational-wave physics. amplitude methods and insights are now employed for precision computations of observables needed for describing the gravitational dynamics of bound massive objects...
compton black-hole scattering for s ≤ 5/2
it is shown that black hole spacetimes in classical einstein gravity are characterized by, in addition to their adm mass m, momentum \overrightarrow{p} , angular momentum \overrightarrow{j} and boost charge \overrightarrow{k} , an infinite head of supertranslation hair. the distinct black holes are distinguished by cla...
superrotation charge and supertranslation hair on black holes
we obtain exact expressions for a general class of correlation functions in the 1d quantum mechanical model described by the schwarzian action, that arises as the low energy limit of the syk model. the answer takes the form of an integral of a momentum space amplitude obtained via a simple set of diagrammatic rules. th...
solving the schwarzian via the conformal bootstrap
we compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. using this five-point amplitude, we then turn to the computation of the leading-order time-domain gravitational waveform. the method we describe is suitable for arbitrary...
resummed spinning waveforms from five-point amplitudes
we review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. in this approach, the mass of the black hole is no longer regarded as internal energy, rather it ...
black hole chemistry: thermodynamics with lambda
in this paper we quantify the temporal variability and image morphology of the horizon-scale emission from sgr a*, as observed by the eht in 2017 april at a wavelength of 1.3 mm. we find that the sgr a* data exhibit variability that exceeds what can be explained by the uncertainties in the data or by the effects of int...
first sagittarius a* event horizon telescope results. iv. variability, morphology, and black hole mass
quantum error correction has given us a natural language for the emergence of spacetime, but the black hole interior poses a challenge for this framework: at late times the apparent number of interior degrees of freedom in effective field theory can vastly exceed the true number of fundamental degrees of freedom, so th...
the black hole interior from non-isometric codes and complexity
in this paper, we explore the physics of electromagnetically and gravitationally coupled massive higher spin states from the on-shell point of view. starting with the three-point amplitude, we focus on the simplest amplitude characterized by matching to minimal coupling in the uv. in the ir, for charged states this lea...
the simplest massive s-matrix: from minimal coupling to black holes
i argue that a version of the quantum-corrected ryu-takayanagi formula holds in any quantum error-correcting code. i present this result as a series of theorems of increasing generality, with the final statement expressed in the language of operator-algebra quantum error correction. in ads/cft this gives a "purely boun...
the ryu-takayanagi formula from quantum error correction