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Instability of Super-Entropic Black Holes in Extended Thermodynamics · Around

2019

Instability of Super-Entropic Black Holes in Extended Thermodynamics

Johnson, Clifford V.

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The charged black hole of Banados, Teitelbiom and Zanelli is studied in extended gravitational thermodynamics where there is a dynamical pressure and volume.

It is a simple example of a super-entropic black hole, violating the reverse isoperimetric inequality.
It is proven that this property implies that its specific heat at constant volume is negative, signalling a new kind of fundamental instability for black holes.
It is conjectured that this instability is present for other super-entropic black holes, and this is demonstrated numerically for a large family of known solutions.

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C. V. Johnson, (2019a), arXiv:1905.00539 [hep-th]
Original
1905
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C. V. Johnson, (2019b), arXiv:1905.09399 [hep-th]
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M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69
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M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D48

2013

Cited alongside, same era.

For a recent historical overview, see e.g.,

Cited in the paper.

For a recent review see ref. [ 27 ]

Cited in the paper.

R. A. Hennigar, D. Kubiznak, and R. B. Mann, Phys. Rev. Lett. 115

Cited in the paper.

The author thanks Felipe Rosso for bringing this solution to his attention

Cited in the paper.

R. A. Hennigar, D. Kubiznak, R. B. Mann, and N. Musoke, JHEP 06

Cited in the paper.

D. Kubiznak, R. B. Mann, and M. Teo, Class. Quant. Grav. 34

2017

Later among the works it cites.

J.-X. Mo, F. Liang, and G.-Q. Li, JHEP 03

2017

Later among the works it cites.