BTZ-like black holes in even dimensional Lovelock theories

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

DOI:https://doi.org/10.1103/PHYSREVD.82.024022· OSTI ID:21410128

Canfora, Fabrizio ^[1]; Giacomini, Alex ^[2]

---

1. Centro de Estudios Cientificos (CECS), Casilla 1469 Valdivia (Chile)
2. Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Valdivia (Chile)

In the present paper, a new class of black hole solutions is constructed in even dimensional Lovelock Born-Infeld theory. These solutions are interesting since, in some respects, they are closer to black hole solutions of an odd dimensional Lovelock Chern-Simons theory than to the more usual black hole solutions in even dimensions. This hybrid behavior arises when non-Einstein base manifolds are considered. The entropies of these solutions have been analyzed using Wald formalism. These metrics exhibit a quite nontrivial behavior. Their entropies can change sign and can even be identically zero depending on the geometry of the corresponding base manifolds. Therefore, the request of thermodynamical stability constrains the geometry of the non-Einstein base manifolds. It will be shown that some of these solutions can support nonvanishing torsion. Eventually, the possibility to define a sort of topological charge associated with torsion will be discussed.

• OSTI ID: 21410128
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BORN-INFELD THEORY
ENTROPY
FIELD THEORIES
MATHEMATICAL SOLUTIONS
MATHEMATICS
METRICS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SIMULATION
STABILITY
THERMODYNAMIC PROPERTIES
TOPOLOGY
TORSION