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Title: Topological black holes in Lovelock-Born-Infeld gravity

Abstract

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 electromagneticmore » field and higher curvature terms has no effect on the stability of the black branes, and they are stable in the whole phase space.« less

Authors:
 [1];  [1];  [2]
  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)
Publication Date:
OSTI Identifier:
21204990
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.77.104025; (c) 2008 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:
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

Citation Formats

Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, Alinejadi, N, and Hendi, S H. Topological black holes in Lovelock-Born-Infeld gravity. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.104025.
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, Alinejadi, N, & Hendi, S H. Topological black holes in Lovelock-Born-Infeld gravity. United States. https://doi.org/10.1103/PHYSREVD.77.104025
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, Alinejadi, N, and Hendi, S H. Thu . "Topological black holes in Lovelock-Born-Infeld gravity". United States. https://doi.org/10.1103/PHYSREVD.77.104025.
@article{osti_21204990,
title = {Topological black holes in Lovelock-Born-Infeld gravity},
author = {Dehghani, M H and Research Institute for Astrophysics and Astronomy of Maragha and Alinejadi, N and Hendi, S H},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.77.104025},
url = {https://www.osti.gov/biblio/21204990}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 77,
place = {United States},
year = {2008},
month = {5}
}