Near-horizon BMS symmetries as fluid symmetries

Penna, Robert F.

doi:10.1007/jhep10(2017)049

Cited by 42 publications

(46 citation statements)

References 68 publications

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“…Also, there is no scaling-invariant notion of constant functions on Z, so there is not even a natural way to single out "time-translations". 19 Essentially the functions £ f + κf projected to Z, where f ∈ s.…”

Section: Symmetry Algebra Of a Complete Intrinsic Structurementioning

confidence: 99%

Symmetries and charges of general relativity at null boundaries

Chandrasekaran

Flanagan

Prabhu

2018

J. High Energ. Phys.

130

283

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We study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving diffeomorphisms that preserve this phase space. This algebra is the semi-direct sum of diffeomorphisms on the two sphere and a nonabelian algebra of supertranslations that has some similarities to supertranslations at null infinity. By using the general prescription developed by Wald and Zoupas, we derive the localized charges of this algebra at cross sections of the null surface as well as the associated fluxes. Our analysis is covariant and applies to general non-stationary null surfaces. We also derive the global charges that generate the symmetries for event horizons, and show that these obey the same algebra as the linearized diffeomorphisms, without any central extension. Our results show that supertranslations play an important role not just at null infinity but at all null boundaries, including non-stationary event horizons. They should facilitate further investigations of whether horizon symmetries and conservation laws in black hole spacetimes play a role in the information loss problem, as suggested by Hawking, Perry, and Strominger.

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Section: Symmetry Algebra Of a Complete Intrinsic Structurementioning

confidence: 99%

Symmetries and charges of general relativity at null boundaries

Chandrasekaran

Flanagan

Prabhu

2018

J. High Energ. Phys.

130

283

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“…We have tried to be clear about the choices leading to our prescription, but it is certainly possible that there exists a different prescription for defining the charges and local operators which leads to more sensible physics. It is also possible that the BMS symmetries make more sense physically in the context of black hole horizons than they do for asymptotic ones, where they correspond to the symmetries of a compressible fluid living on the horizon [34].…”

Section: Discussion and Further Directionsmentioning

confidence: 99%

“…The associated group manifold in this case is parameterized by SDiff(S 2 ) ⋉ C ∞ (S 2 ), which is the semidirect product of volume-preserving diffeormorphisms of the two-sphere with the set of smooth functions living there. This group also arises as the set of symmetries of a compressible fluid on the two-sphere and may be relevant for a deeper understanding of the membrane paradigm for black holes horizons [34] 5 . The algebra for near-horizon BMS can also be extended to include a second set of supertranslation generators; see [33] for details.…”

Section: )mentioning

confidence: 99%

Double-soft graviton amplitudes and the extended BMS charge algebra

Distler

Flauger

Horn

2019

J. High Energ. Phys.

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We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is found to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.

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“…The recent focus on the symmetries of near-horizon geometries has been motivated by the fact that they exhibit, in some instances, a BMS-like algebra composed of supertranslations and superrotations [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Moreover, one can associate non-trivial charges to these large diffeomorphisms: they generate the so-called soft hair on black holes [22][23][24][25], which were pointed out to have implications for the information paradox.…”

Section: Introductionmentioning

confidence: 99%

Carrollian physics at the black hole horizon

Donnay¹,

Marteau²

2019

Class. Quantum Grav.

160

109

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We show that the geometry of a black hole horizon can be described as a Carrollian geometry emerging from an ultra-relativistic limit where the near-horizon radial coordinate plays the role of a virtual velocity of light tending to zero. We prove that the laws governing the dynamics of a black hole horizon, the null Raychaudhuri and Damour equations, are Carrollian conservation laws obtained by taking the ultra-relativistic limit of the conservation of an energy-momentum tensor; we also discuss their physical interpretation. We show that the vector fields preserving the Carrollian geometry of the horizon, dubbed Carrollian Killing vectors, include BMS-like supertranslations and superrotations and that they have non-trivial associated conserved charges on the horizon. In particular, we build a generalization of the angular momentum to the case of nonstationary black holes. Finally, we discuss the relation of these conserved quantities to the infinite tower of charges of the covariant phase space formalism.

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Near-horizon BMS symmetries as fluid symmetries

Cited by 42 publications

References 68 publications

Symmetries and charges of general relativity at null boundaries

Symmetries and charges of general relativity at null boundaries

Double-soft graviton amplitudes and the extended BMS charge algebra

Carrollian physics at the black hole horizon

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