Gravitational black hole hair from event horizon supertranslations

Averin, A. V.; Dvali, Gia; Gómez, César; Lüst, Dieter

doi:10.1007/jhep06(2016)088

Cited by 64 publications

(105 citation statements)

References 48 publications

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“…We may estimate its order by considering fluctuation in Newton's gravitational potential δU ∼ ωδg 00 ∼ Mωδr/r 2 | r=2M . Given the quantized radiation ω ∼ /4M [22] and δr ∼ ω, one obtains the energy gap ∆E ∼ δU ∼ /M 3 in agreement with [17]. However, its contribution to Ω is minor due to its small magnitude.…”

Section: Jaynes-cummings Model Of Black Atomsupporting

confidence: 58%

Hawking radiation as stimulated emission

Wen

2020

Physics Letters B

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We regard the Parikh-Wilczek's tunnelling model of Hawking radiation as a quantum mechanical process of stimulated emission. The hypothesized microstates are found at the horizon with double degeneracy. A Jaynes-Cummings toy model for a black hole in the cavity is proposed to demonstrate how to write a qubit via the angular-dependent transition coupling, which might be related to the soft Goldstone hairs at analytic continuation. At last, we show how information is retained in the black hole by computing the time evolution of mutual entanglement entropy in the cavity-black holes system.

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Section: Jaynes-cummings Model Of Black Atomsupporting

confidence: 58%

Hawking radiation as stimulated emission

Wen

2020

Physics Letters B

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“…This possible complementary explanation of the tower is analogous to the way when one tries to explain the microscopic degrees of freedom of a (Schwarzschild) black hole in terms of BMS-like modes -see e.g. [50,[62][63][64][65][66][67]. For this we refer to some possible future work in progress [68].…”

Section: Discussionmentioning

confidence: 88%

Swampland, gradient flow and infinite distance

Kehagias

Lüst

2020

J. High Energ. Phys.

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In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow. We conjecture that following the gradient flow towards a fixed point, which is at infinite distance in the space of background metrics, is accompanied by an infinite tower of states in quantum gravity. In case of the Ricci flow, this conjecture is in accordance with the generalized distance and AdS distance conjectures, which were recently discussed in the literature, but it should also hold for more general background spaces. We argue that the entropy functionals of gradient flows provide a useful definition of the generalized distance in the space of background fields. In particular we give evidence that for the Ricci flow the distance ∆ can be defined in terms of the mean scalar curvature of the manifold, ∆ ∼ logR. For a more general gradient flow, the distance functional also depends on the string coupling constant.In the second part of the paper we will apply the generalized distance conjecture to gravity theories with higher curvature interactions, like higher derivative R 2 and W 2 terms. We will show that going to the weak coupling limit of the higher derivative terms corresponds to the infinite distance limit in metric space and hence this limit must be accompanied by an infinite tower of light states. For the case of the R 2 or W 2 couplings, this limit corresponds to the limit of a small cosmological constant or, respectively, to a light additional spin-two field in gravity. In general we see that the limit of small higher curvature couplings belongs to the swampland in quantum gravity, just like the limit of a small U (1) gauge coupling belongs to the swampland as well.

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“…Moreover, the emergence of a nonvanishing central term relies on the poles: since ζ is actually tangent to Σ bif precisely at w + = 0, the δQ X vanishes unless the perturbation produces a w + -pole in X. 9 We will define and compute these counterterms by working at small w + and then taking the limit. This amounts to approaching Σ bif along the future horizon.…”

Section: )mentioning

confidence: 99%

Black hole entropy and soft hair

Haco

Hawking

Perry

et al. 2018

J. High Energ. Phys.

178

257

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A set of infinitesimal Virasoro L ⊗ Virasoro R diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of 'Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges c L = c R = 12J. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.We are deeply saddened to lose our much-loved friend and collaboratorStephen Hawking whose contributions to black hole physics remained vitally stimulating to the very end. This paper summarizes the status of our long-term project on large diffeomorphisms, soft hair and the quantum structure of black holes until the end of our time together.

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Gravitational black hole hair from event horizon supertranslations

Cited by 64 publications

References 48 publications

Hawking radiation as stimulated emission

Hawking radiation as stimulated emission

Swampland, gradient flow and infinite distance

Black hole entropy and soft hair

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