Thermodynamical properties of topological Born-Infeld-dilaton black holes

Abstract

We examine the $(n+1)$-dimensional $(n\ge 3)$ action in which gravity is coupled to the Born-Infeld nonlinear electrodynamic and a dilaton field. We construct a new $(n+1)$-dimensional analytic solution of this theory in the presence of Liouville-type dilaton potentials. These solutions which describe charged topological dilaton black holes with nonlinear electrodynamics, have unusual asymptotics. They are neither asymptotically flat nor (anti)-de Sitter. The event horizons of these black holes can be an $(n-1)$-dimensional positive, zero or negative constant curvature hypersurface. We also analyze thermodynamics and stability of these solutions and disclose the effect of the dilaton and Born-Infeld fields on the thermal stability in the canonical ensemble.

arXiv comment18 pages, 15 figures; IJMPD (2008) to appear

References in corpus (55)

• The Black Hole in Three Dimensional Space Time
• A rotating black ring in five dimensions
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Gauss-Bonnet Black Holes in AdS Spaces
• Cylindrical Black Hole in General Relativity
• Topological Black Holes in Anti-de Sitter Space
• Black holes with unusual topology
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• Black plane solutions in four dimensional spacetimes
• Black Hole Scan
• Misner String Entropy
• Charged Dilaton Black Holes with Unusual Asymptotics
• Topological black holes in the dimensionally continued gravity
• Born-Infeld Black Holes in (A)dS Spaces
• Nut Charge, Anti-de Sitter Space and Entropy
• Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
• Making Anti-de Sitter Black Holes
• Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
• Two-Dimensional Black Holes and Planar General Relativity
• Topological dilaton black holes
• Topological Censorship
• Black holes with topologically nontrivial AdS asymptotics
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Linear dilaton black holes
• Rotating Topological Black Holes
• Exact Solutions of Lovelock-Born-Infeld Black Holes
• Formation of Topological Black holes from Gravitational Collapse
• Entropy of Rotating Misner String Spacetimes
• Born-Infeld black hole in the isolated horizon framework
• Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics
• Anti-de Sitter space and black holes
• The Action of Instantons with Nut Charge
• The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics
• Thermodynamics of charged topological dilaton black holes
• Non-asymptotically flat, non-AdS dilaton black holes
• Black holes in three-dimensional Einstein-Born-Infeld-dilaton theory
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Holography and Brane Cosmology in Domain Wall Backgrounds
• Gravitating BIon and BIon black hole with dilaton
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Non-asymptotically flat, non-dS/AdS dyonic black holes in dilaton gravity
• Einstein-Born-Infeld-dilaton black holes in non-asymptotically flat spacetimes
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Charged Rotating Dilaton Black Strings
• Solitons and black holes in Einstein-Born-Infeld-dilaton theory
• Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• Exact Superstring Motivated Cosmological Models
• Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Dyonic BIon black hole in string inspired model
• Electrically Charged Einstein-Born-Infeld Black Holes with Massive Dilaton
• Topological Charged Black Holes in High Dimensional Spacetimes and Their Formation from Gravitational Collapse of a Type II Fluid
• Rotating Solution of Einstein-Maxwell Dilaton Gravity with Unusual Asymptotics
• Charged rotating black holes in dilaton gravity

Cited by in corpus (20)

• Dilaton black holes coupled to nonlinear electrodynamic field
• Interacting agegraphic tachyon model of dark energy
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Thermodynamics of topological black holes in Brans-Dicke gravity with a power-law Maxwell field
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Heat Engines for Dilatonic Born-Infeld Black Holes
• Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics
• Critical behavior of Born-Infeld dilaton black holes
• Black hole phase transitions in Hořava-Lifshitz gravity
• Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Thermodynamics of Charged Brans-Dicke AdS Black Holes
• Thermodynamics of Gauss-Bonnet-Born-Infeld black holes in AdS space
• Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes
• Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Extremal Myers-Perry black holes coupled to Born-Infeld electrodynamics in five dimensions
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics
• Charged scalar quasi-normal modes for higher-dimensional Born-Infeld dilatonic black holes with Lifshitz scaling