Topological black holes in Lovelock-Born-Infeld gravity

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.104025· OSTI ID:21204990

Dehghani, M H ^[1]; Alinejadi, N ^[1]; Hendi, S H ^[2]

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1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
2. Physics Department, College of Sciences, Yasouj University, Yasouj 75914 (Iran, Islamic Republic of)

In this paper, we present topological black holes of third order Lovelock gravity in the presence of cosmological constant and nonlinear electromagnetic Born-Infeld field. Depending on the metric parameters, these solutions may be interpreted as black hole solutions with inner and outer event horizons, an extreme black hole or naked singularity. We investigate the thermodynamics of asymptotically flat solutions and show that the thermodynamic and conserved quantities of these black holes satisfy the first law of thermodynamic. We also endow the Ricci flat solutions with a global rotation and calculate the finite action and conserved quantities of these class of solutions by using the counterterm method. We compute the entropy through the use of the Gibbs-Duhem relation and find that the entropy obeys the area law. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta, and the charge, and compute temperature, angular velocities, and electric potential and show that these thermodynamic quantities coincide with their values which are computed through the use of geometry. Finally, we perform a stability analysis for this class of solutions in both the canonical and the grand-canonical ensemble and show that the presence of a nonlinear electromagnetic field and higher curvature terms has no effect on the stability of the black branes, and they are stable in the whole phase space.

• OSTI ID: 21204990
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 10; Other Information: DOI: 10.1103/PhysRevD.77.104025; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANGULAR VELOCITY
BLACK HOLES
BORN-INFELD THEORY
COSMOLOGICAL CONSTANT
ELECTRIC POTENTIAL
ELECTROMAGNETIC FIELDS
ENTROPY
GRAVITATION
MASS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PHASE SPACE
ROTATION
SINGULARITY
STABILITY
THERMODYNAMICS