Thermodynamical description of stationary, asymptotically flat solutions with conical singularities

• Type: Article in International Scientific Journal
• Date: 2010

Authors

C. Herdeiro (Author) FCUP; E. Radu (Author) FCUP; C. Rebelo (Author) FCUP

Journal

Title: Physical Review D - Particles, Fields, Gravitation and Cosmology

Vol. 81 No. 10

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Science

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Abstract (EN): We examine the thermodynamical properties of a number of asymptotically flat, stationary (but not static) solutions having conical singularities, with both connected and nonconnected event horizons, using the thermodynamical description recently proposed in [C. Herdeiro, B. Kleihaus, J. Kunz, and E. Radu, Phys. Rev. D 81, 064013 (2010).]. 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 Arnowitt-Deser-Misner angular momentum. We also analyze 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.

Language: English

Type (Professor's evaluation): Scientific