Thermodynamics of a class of non-asymptotically flat black holes in Einstein-Maxwell-Dilaton theory
arXiv:1206.0763 · doi:10.1007/s10714-013-1529-6
Abstract
We analyse in detail the thermodynamics in the canonical and grand canonical ensembles of a class of non-asymptotically flat black holes of the Einstein-(anti) Maxwell-(anti) Dilaton theory in 4D with spherical symmetry. We present the first law of thermodynamics, the thermodynamic analysis of the system through the geometrothermodynamics methods, Weinhold, Ruppeiner, Liu-Lu-Luo-Shao and the most common, that made by the specific heat. The geometric methods show a curvature scalar identically zero, which is incompatible with the results of the analysis made by the non null specific heat, which shows that the system is thermodynamically interacting, does not possess extreme case nor phase transition. We also analyse the local and global stability of the thermodynamic system, and obtain a local and global stability for the normal case for 0<γ<1 and for other values of γ, an unstable system. The solution where γ=0 separates the class of locally and globally stable solutions from the unstable ones.
arXiv comment18 pages, version accepted for publication in General Relativity and Gravitation
References in corpus (33)
- Relationship between Hawking Radiation and Gravitational Anomalies
- Linear Dilatons, NS5-branes and Holography
- Geometrothermodynamics
- Charged Dilaton Black Holes with Unusual Asymptotics
- Calculable Corrections to Brane Black Hole Decay I: The Scalar Case
- Topological dilaton black holes
- Geometrothermodynamics of black holes
- Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
- Conformal Invariance of Black Hole Temperature
- Linear dilaton black holes
- Black Holes in Higher Derivative Gravity Theories
- Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
- Thermodynamics of charged topological dilaton black holes
- Non-asymptotically flat, non-AdS dilaton black holes
- Thermodynamic instability of charged dilaton black holes in AdS spaces
- Holography and Brane Cosmology in Domain Wall Backgrounds
- Non-asymptotically flat, non-dS/AdS dyonic black holes in dilaton gravity
- Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
- 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
- Hawking radiation of linear dilaton black holes
- Black hole phase transitions in Hořava-Lifshitz gravity
- Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential
- Hawking Temperature and String Scattering off the 2+1 Black Hole
- Magnetic Branes in -dimensional Einstein-Maxwell-dilaton gravity
- Black hole mass and angular momentum in 2+1 gravity
- Greybody Factor and Hawking Radiation of Charged Dilatonic Black Holes
- Magnetic Strings in Dilaton Gravity
- Asymptotically non-flat rotating dilaton black holes
- Black branes on the linear dilaton background
- Rotating Solution of Einstein-Maxwell Dilaton Gravity with Unusual Asymptotics
- Equivalence of the Hawking temperature in conformal frames