Thermodynamics of rotating black branes in (n+1)dimensional EinsteinBornInfeld gravity
Abstract
We construct a new class of charged rotating solutions of (n+1)dimensional EinsteinBornInfeld 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 EinsteinMaxwell gravity as the BornInfeld 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 Smarrtype 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 grandcanonical 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:

 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 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BLACK HOLES; BORNINFELD THEORY; COSMOLOGICAL CONSTANT; COSMOLOGY; CYLINDRICAL CONFIGURATION; DE SITTER GROUP; EINSTEIN FIELD EQUATIONS; EINSTEINMAXWELL 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 EinsteinBornInfeld 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 EinsteinBornInfeld 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 EinsteinBornInfeld gravity". United States. https://doi.org/10.1103/PHYSREVD.74.124018.
@article{osti_20871485,
title = {Thermodynamics of rotating black branes in (n+1)dimensional EinsteinBornInfeld 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 EinsteinBornInfeld 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 EinsteinMaxwell gravity as the BornInfeld 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 Smarrtype 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 grandcanonical 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 = {05562821},
number = 12,
volume = 74,
place = {United States},
year = {2006},
month = {12}
}