Instability of super-entropic black holes in extended thermodynamics
Clifford V. Johnson
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.
Topics & Concepts
PhysicsInstabilityBlack hole thermodynamicsIsoperimetric inequalityBlack hole (networking)Hawking radiationThermodynamicsSimple (philosophy)Classical mechanicsConstant (computer programming)Cosmological constantGravitationGravitational instabilityExtremal black holeTheoretical physicsEntropy (arrow of time)Sonic black holeMembrane paradigmSpecific heatQuantum mechanicsWhite holeMathematical physicsStability (learning theory)Quantum electrodynamicsFirst law of thermodynamicsBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesPulsars and Gravitational Waves Research