Logarithmic corrections to entropy for black holes with hyperbolic horizon
arXiv:0808.0045 · doi:10.1088/0264-9381/26/6/065007
Abstract
We compute logarithmic corrections to entropy for black holes with hyperbolic horizon. For this purpose, we introduce the topological black hole and MTZ black holes in four dimensions, while in five dimensions, the topological black holes and Gauss-Bonnet black hole with negative coupling are considered. As they stand, logarithmic corrections are problematic because small black holes with positive heat capacity have negative energies. However, introducing the background state of extremal black hole, the logarithmic corrections are performed for black hole with hyperbolic horizon.
15 pages, version to appear in CQG
References in corpus (27)
- Charged AdS Black Holes and Catastrophic Holography
- Gauss-Bonnet Black Holes in AdS Spaces
- Logarithmic correction to the Bekenstein-Hawking entropy
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- Cylindrical Black Hole in General Relativity
- General Logarithmic Corrections to Black Hole Entropy
- Topological Black Holes in Anti-de Sitter Space
- Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
- Black holes with unusual topology
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Exact black hole solution with a minimally coupled scalar field
- Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
- Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
- Quantum Black Hole Entropy
- Cardy-Verlinde Formula and AdS Black Holes
- An Exact Black Hole Entropy Bound
- Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
- Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
- Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
- Thermodynamical properties of hairy black holes in n spacetimes dimensions
- Phase transition for black holes with scalar hair and topological black holes
- Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
- Stability of Topological Black Holes
- Thermodynamics of Gauss-Bonnet black holes revisited
- On the Phase Transition of Conformal Field Theories with Holographic Duals
- Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces
- Relationship between five-dimensional black holes and de Sitter spaces