Thermodynamics of rotating black branes in (n+1)-dimensional Einstein-Born-Infeld gravity

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.124018· OSTI ID:20871485

Dehghani, M H ^[1]; Sedehi, H R. Rastegar ^[1]

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

We construct a new class of charged rotating solutions of (n+1)-dimensional Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the presence of cosmological constant and investigate their properties. These solutions are asymptotically (anti)-de Sitter and reduce to the solutions of Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We find that these solutions can represent black branes, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute temperature, mass, angular momentum, entropy, charge and electric potential of the black brane solutions. We obtain a Smarr-type formula and show that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass of the system with infinite boundary with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable in the whole phase space. Also, we find that there exists an unstable phase when the finite size effect is taken into account.

• OSTI ID: 20871485
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLACK HOLES
BORN-INFELD THEORY
COSMOLOGICAL CONSTANT
COSMOLOGY
CYLINDRICAL CONFIGURATION
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
ELECTRIC POTENTIAL
ENTROPY
GRAVITATION
MASS
MATHEMATICAL SOLUTIONS
MEMBRANES
PHASE SPACE
QUANTUM FIELD THEORY
SINGULARITY
SPECIFIC HEAT
STABILITY
THERMODYNAMICS
TOPOLOGY