Research PapersNo Access

Instability of super-entropic black holes in extended thermodynamics

Clifford V. Johnson

Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA

https://doi.org/10.1142/S0217732320500984Cited by:27 (Source: Crossref)

Abstract

The charged black hole of Bañados, 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, signaling 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.

Keywords:

PACS: 04.50.Gh, 04.70.Dy

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