Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Journal Article · Sun Oct 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.084016· OSTI ID:20871408

Sheykhi, A; Riazi, N; Pakravan, J ^[1]; Dehghani, M H ^[1]

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

We construct a class of charged, rotating solutions of (n+1)-dimensional Einstein-Maxwell-dilaton gravity with cylindrical or toroidal horizons in the presence of Liouville-type potentials and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black brane, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We also compute temperature, entropy, charge, electric potential, mass and angular momentum of the black brane solutions, and find that these quantities satisfy the first law of thermodynamics. We find a Smarr-type formula and perform a stability analysis by computing the heat capacity in the canonical ensemble. We find that the system is thermally stable when the coupling constant between the dilaton and matter field {alpha}{<=}1, while for {alpha}>1 the system has an unstable phase. This shows that the dilaton field makes the solution unstable, while it is stable even in Lovelock gravity.

• OSTI ID: 20871408
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 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
COSMOLOGY
COUPLING CONSTANTS
CYLINDRICAL CONFIGURATION
DE SITTER GROUP
ELECTRIC POTENTIAL
ENTROPY
GRAVITATION
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
REST MASS
SINGULARITY
SPECIFIC HEAT
STABILITY
THERMODYNAMICS