skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [1]
  1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
20871485
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.74.124018; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, and Sedehi, H R. Rastegar. Thermodynamics of rotating black branes in (n+1)-dimensional Einstein-Born-Infeld gravity. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.124018.
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, & Sedehi, H R. Rastegar. Thermodynamics of rotating black branes in (n+1)-dimensional Einstein-Born-Infeld gravity. United States. https://doi.org/10.1103/PHYSREVD.74.124018
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, and Sedehi, H R. Rastegar. Fri . "Thermodynamics of rotating black branes in (n+1)-dimensional Einstein-Born-Infeld gravity". United States. https://doi.org/10.1103/PHYSREVD.74.124018.
@article{osti_20871485,
title = {Thermodynamics of rotating black branes in (n+1)-dimensional Einstein-Born-Infeld gravity},
author = {Dehghani, M H and Research Institute for Astrophysics and Astronomy of Maragha and Sedehi, H R. Rastegar},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.74.124018},
url = {https://www.osti.gov/biblio/20871485}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 74,
place = {United States},
year = {2006},
month = {12}
}