Horizon divergences of Fields and Strings in Black Hole backgrounds
arXiv:hep-th/9402004 · doi:10.1103/PhysRevD.50.2712
Abstract
General arguments based on curved space-time thermodynamics show that any extensive quantity, like the free energy or the entropy of thermal matter, always has a divergent boundary contribution in the presence of event horizons, and this boundary term comes with the Hawking-Bekenstein form. Although the coefficients depend on the particular geometry we show that intensive quantities, like the free energy density are universal in the vicinity of the horizon. {} From the point of view of the matter degrees of freedom this divergence is of infrared type rather than ultraviolet, and we use this remark to speculate about the fate of these pathologies in String Theory. Finally we interpret them as instabilities of the Canonical Ensemble with respect to gravitational collapse via the Jeans mechanism.
16 pages, PUPT-1448 (some typos corrected and references added)
References in corpus (9)
- The Stretched Horizon and Black Hole Complementarity
- On Geometric Entropy
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Black Hole Evaporation without Information Loss
- Strings, Black Holes and Lorentz Contraction
- Some Speculations about Black Hole Entropy in String Theory
- Remarks on geometric entropy
- Comments on information loss and remnants
- Black Hole Evaporation and Quantum Gravity
Cited by in corpus (34)
- Entanglement entropy of black holes
- Black Hole Entropy and Entropy of Entanglement
- Entropies of Scalar Fields on Three Dimensional Black Holes
- Very Long Time Scales and Black Hole Thermal Equilibrium
- On the Entropy of a Quantum Field in the Rotating Black Holes
- Thermodynamics of Quantum Fields in Black Hole Backgrounds
- Black Hole Entropy: Off-Shell vs On-Shell
- The Entropy of a Quantum Field in a Charged Kerr Black Hole
- Restoring Unitarity in BTZ Black Hole
- Quantum black hole entropy and Newton constant renormalization
- Heat kernels and thermodynamics in Rindler space
- Entanglement entropy of round spheres
- Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
- Euclidean Approach to the Entropy for a Scalar Field in Rindler-like Space-Times
- Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
- Chaotic Fast Scrambling At Black Holes
- On the Entropy of a Quantum Field in the 2 + 1 Dimensional Spinning Black Holes
- One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole
- Remarks on Thermal Strings outside Black Holes
- Optical Approach for the Thermal Partition Function of Photons
- Ultrastatic spacetimes
- Deconstructing the Little Hagedorn Holography
- Revisiting noninteracting string partition functions in Rindler space
- Hawking Radiation Entropy and Horizon Divergences
- Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
- Minimal Length Effects on Entanglement Entropy of Spherically Symmetric Black Holes in Brick Wall Model
- Is the Euclidean path integral always equal to the thermal partition function?
- Brick Walls for Black Holes in AdS/CFT
- Defining entanglement without tensor factoring: a Euclidean hourglass prescription
- Ambiguity in the evaluation of the effective action on the cone
- Extractable entanglement from a Euclidean hourglass
- Non-relativistic Limit of Thermodynamics of Bose Field in a Static Space-time and Bose-Einstein Condensation
- Radion clouds around evaporating black holes
- Aspects and applications of quantum field theory on spaces with conical singularities