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Membrane Paradigm from Near Horizon Soft Hair · Around

2018

Membrane Paradigm from Near Horizon Soft Hair

Grumiller, D., Sheikh-Jabbari, M. M.

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The membrane paradigm posits that black hole microstates are dynamical degrees of freedom associated with a physical membrane vanishingly close to the black hole's event horizon.

The soft hair paradigm postulates that black holes can be equipped with zero-energy charges associated with residual diffeomorphisms that label near horizon degrees of freedom.
In this essay we argue that the latter paradigm implies the former.
More specifically, we exploit suitable near horizon boundary conditions that lead to an algebra of `soft hair charges' containing infinite copies of the Heisenberg algebra, associated with area-preserving shear deformations of black hole horizons.

Built on

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R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev
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S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP
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D. T. Son and A. O. Starinets, “Viscosity, Black Holes, and Quantum Field Theory,” Ann. Rev. Nucl. Part. Sci
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A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, “Black Holes: Complementarity or Firewalls?,” JHEP
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D. Grumiller, A. Perez, M. Sheikh-Jabbari, and R. Troncoso, “Soft hair on black holes and cosmological horizons in any dimension.” preprint TUW-18-03

Then

L. Donnay, G. Giribet, H. A. Gonzalez, and M. Pino, “Supertranslations and Superrotations at the Black Hole Horizon,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
S. W. Hawking, M. J. Perry, and A. Strominger, “Soft Hair on Black Holes,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
H. Afshar, S. Detournay, D. Grumiller, W. Merbis, A. Perez, D. Tempo, and R. Troncoso, “Soft Heisenberg hair on black holes in three dimensions,” Phys. Rev
Original
2017
Later among the works it cites.
H. Afshar, D. Grumiller, and M. M. Sheikh-Jabbari, “Near horizon soft hair as microstates of three dimensional black holes,” Phys. Rev
Original
2017
Later among the works it cites.

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