Thermodynamics and stability of hyperbolic charged black holes

Journal Article · Wed Sep 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.064013· OSTI ID:20705235

Ronggen, Cai; Anzhong, Wang ^[1]

---

1. CASPER, Department of Physics, Baylor University, Waco, Texas 76798-7316 (United States)

In AdS space the black hole horizon can be a hypersurface with a positive, zero, or negative constant curvature, resulting in different horizon topology. Thermodynamics and stability of black holes in AdS spaces are quite different for different horizon curvatures. In this paper we study thermodynamics and stability of hyperbolic charged black holes with negative constant curvature horizon in the grand canonical ensemble and canonical ensemble, respectively. They include hyperbolic Reissner-Nordstroem black holes in arbitrary dimensions and hyperbolic black holes in the D=5,4,7 gauged supergravities. It is found that associated Gibbs free energies are always negative, which implies that these black hole solutions are globally stable and the black hole phase is dominant in the grand canonical ensemble, but there is a region in the phase space where the black hole is not locally thermodynamically stable with a negative heat capacity for a given gauge potential. In the canonical ensemble, the Helmholtz free energies are not always negative and heat capacities with fixed electric charge are not always positive, which indicates that the Hawking-Page phase transition may happen and black holes are not always locally thermodynamically stable.

• OSTI ID: 20705235
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGY
ELECTRIC CHARGES
FREE ENERGY
FREE ENTHALPY
MATHEMATICAL SOLUTIONS
PHASE SPACE
PHASE TRANSFORMATIONS
POTENTIALS
SPACE-TIME
SPECIFIC HEAT
STABILITY
SUPERGRAVITY
THERMODYNAMICS
TOPOLOGY