Entropy of the Schwarzschild black hole to all orders in the Planck length
arXiv:0707.2128 · doi:10.1016/j.physletb.2007.08.065
Abstract
Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black hole without any cutoff. We obtain the entropy of the massive scalar field proportional to the horizon area.
13 pages, 1 figure; Minor typos corrected, one reference added; Accepted for publication in Phys. Lett. B
References in corpus (11)
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Black hole thermodynamics with generalized uncertainty principle
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Stability and thermodynamics of brane black holes
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Quantum Cooling Evaporation Process in Regular Black Holes
- Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
- Entropy of a charged black hole in two dimensions without cutoff
- Entropy of an extremal regular black hole
- Tests of Quantum Gravity via Generalized Uncertainty Principle
- Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
Cited by in corpus (17)
- Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
- Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
- Generalized uncertainty principle and Hořava-Lifshitz gravity
- The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
- Entropy bound of local quantum field theory with generalized uncertainty principle
- Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
- Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
- Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
- Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
- Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach
- Entropy of Kerr-Newman black hole to all orders in the Planck length
- GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
- A shell of Bosons in Spherically Symmetric spacetimes
- Tidal effects based on GUP-induced effective metric
- Generalized uncertainty principles and black hole temperatures in rainbow gravity
- Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
- Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle