Thermodynamical description of stationary, asymptotically flat solutions with conical singularities

Abstract

We examine the thermodynamical properties of a number of asymptotically flat, stationary (but not static) solutions having conical singularities, with both connected and non-connected event horizons, using the thermodynamical description recently proposed in arXiv:0912.3386 [gr-qc]. The examples considered are the double-Kerr solution, the black ring rotating in either S^2 or S^1 and the black Saturn, where the balance condition is not imposed for the latter two solutions. We show that not only the Bekenstein-Hawking area law is recovered from the thermodynamical description but also the thermodynamical angular momentum is the ADM angular momentum. We also analyse the thermodynamical stability and show that, for all these solutions, either the isothermal moment of inertia or the specific heat at constant angular momentum is negative, at any point in parameter space. Therefore, all these solutions are thermodynamically unstable in the grand canonical ensemble.

19 pages, 12 figures

References in corpus (5)

• Phases of Five-Dimensional Black Holes
• Non-existence of stationary two-black-hole configurations
• On the interaction between two Kerr black holes
• On the Bekenstein-Hawking area law for black objects with conical singularities
• Dynamical and Thermodynamical Aspects of Interacting Kerr Black Holes

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