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2012

Wave function of the quantum black hole

Brustein, Ram, Hadad, Merav

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We show that the Wald Noether charge entropy is canonically conjugate to the opening angle at the horizon.

Using this canonical relation we extend the Wheeler-DeWitt equation to a Schroedinger equation in the opening angle, following Carlip and Teitelboim.
We solve the equation in the semiclassical approximation by using the correspondence principle and find that the solutions are minimal uncertainty wavefunctions with a continuous spectrum for the entropy and therefore also of the area of the black hole horizon.
The fact that the opening angle fluctuates away from its classical value of 2 pi indicates that the quantum black hole is a superposition of horizonless states.

Wave function of the quantum black hole · Around

Built on

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Similar

R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1993
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Cited alongside, same era.
J. D. Bekenstein, V. F. Mukhanov, “Spectroscopy of the quantum black hole,” Phys. Lett. B360
1995
Cited alongside, same era.
S. Carlip and C. Teitelboim, “The Off-shell black hole,” Class. Quant. Grav. 12
1995
Cited alongside, same era.
J. D. Brown, “Black hole entropy and the Hamiltonian formulation of difieomorphism invariant theories,” Phys. Rev. D 52
1995
Cited alongside, same era.
R. Brustein and A. J. M. Medved, “Gravitational entropy and thermodynamics away from the horizon,” arXiv:1201.5754 [hep-th]

Then

S. Carlip, “Entropy from conformal field theory at Killing horizons,” Class. Quant. Grav. 16
1999
Later among the works it cites.
V. Balasubramanian, J. de Boer, S. El-Showk and I. Messamah, “Black Holes as Effective Geometries,” Class. Quant. Grav. 25
Original
2008
Later among the works it cites.
R. Brustein and D. Gorbonos, “The Noether charge entropy in anti-deSitter space and its field theory dual,” Phys. Rev. D 79
Original
2009
Later among the works it cites.
A. J. M. Medved, “On the ’Universal’ Quantum Area Spectrum,” Mod. Phys. Lett. A 24
Original
2009
Later among the works it cites.
R. Brustein, D. Gorbonos and M. Hadad, “Wald’s entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling,” Phys. Rev. D 79
Original

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