Thermodynamical description of stationary, asymptotically flat solutions with conical singularities

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.104031· OSTI ID:21415193

Herdeiro, Carlos; Rebelo, Carmen ^[1]; Radu, Eugen ^[2]

---

1. Centro de Fisica do Porto-CFP Departamento de Fisica e Astronomia Faculdade de Ciencias da Universidade do Porto--FCUP Rua do Campo Alegre, 4169-007 Porto (Portugal)
2. Institut fuer Physik, Universitaet Oldenburg, Postfach 2503 D-26111 Oldenburg (Germany)

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{sup 2} or S{sup 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.

• OSTI ID: 21415193
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COSMOLOGICAL MODELS
GRAVITATIONAL FIELDS
KERR FIELD
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MOMENT OF INERTIA
PHYSICAL PROPERTIES
RINGS
SINGULARITY
SPACE
SPECIFIC HEAT
STABILITY
THERMODYNAMIC PROPERTIES