General Logarithmic Corrections to Bekenstein-Hawking Entropy
arXiv:gr-qc/0609080 · doi:10.1142/S021773230702230X
Abstract
Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has been of great interest. In this paper, the black hole is corresponded to a canonical ensemble in statistics by radiant spectrum, resulted from the black hole tunneling effect studies and the partition function of ensemble is derived. Then the entropy of the black hole is calculated. When the first order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle. In our calculation, there are no uncertainty factors. The prefactor of the logarithmic correction and the one if fluctuation is considered are the same. Our result shows that if the thermal capacity is negative, there is no divergent term. We provide a general method for further discussion on quantum correction to Bekenstein-Hawking entropy. We also offer a theoretical basis for comparing string theory and loop quantum gravitaty and deciding which one is more reliable.
9 pages
References in corpus (29)
- Hawking Radiation as Tunneling
- Quantum Geometry and Black Hole Entropy
- Black Hole Entropy from Loop Quantum Gravity
- Logarithmic correction to the Bekenstein-Hawking entropy
- General Logarithmic Corrections to Black Hole Entropy
- Effect of Self-Interaction on Charged Black Hole Radiance
- When conceptual worlds collide: The GUP and the BH entropy
- Radiation via Tunneling from a de Sitter Cosmological Horizon
- New Coordinates for de Sitter Space and de Sitter Radiation
- Microcanonical D-branes and Back Reaction
- On Hawking Radiation as Tunneling with Back-Reaction
- Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
- Generalization of the KKW Analysis for Black Hole Radiation
- Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
- Hawking radiation of charged particles as tunneling from Reissner-Nordstrom-de Sitter black holes with a global monopole
- Are Extremal 2D Black Holes Really Frozen ?
- Universal canonical black hole entropy
- How classical are TeV-scale black holes?
- Two-Dimensional Dilatonic Black Holes and Hawking Radiation
- On Hawking Radiation as Tunneling with Logarithmic Corrections
- Thermal Fluctuations and Black Hole Entropy
- Radiation via Tunneling in the Charged BTZ Black Hole
- Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
- Mass and charge fluctuations and black hole entropy
- Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
- Logarithmic corrections to three-dimensional black holes and de Sitter spaces
- Tunneling through the quantum horizon
- Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
- Quantum gravitational corrections to black hole geometries