Renormalized Thermodynamic Entropy of Black Holes in Higher Dimensions

Abstract

We study the ultraviolet divergent structures of the matter (scalar) field in a higher D-dimensional Reissner-Nordström black hole and compute the matter field contribution to the Bekenstein-Hawking entropy by using the Pauli-Villars regularization method. We find that the matter field contribution to the black hole entropy does not, in general, yield the correct renormalization of the gravitational coupling constants. In particular we show that the matter field contribution in odd dimensions does not give the term proportional to the area of the black hole event horizon.

Final Revision Form as to be published in Physical Review D, ReVTeX, No Figures

References in corpus (3)

• Black Hole Entropy without Brick Walls
• Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
• Remarks on Renormalization of Black Hole Entropy

Cited by in corpus (27)

• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• A Quantum Focussing Conjecture
• Thermal Fields, Entropy, and Black Holes
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• The Generalized Second Law implies a Quantum Singularity Theorem
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Do gauge fields really contribute negatively to black hole entropy?
• Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method
• Charged BTZ-like Black Holes in Higher Dimensions
• Ten Proofs of the Generalized Second Law
• Entropy of a charged black hole in two dimensions without cutoff
• Black hole entanglement entropy regularized in a freely falling frame
• Black hole entanglement entropy and the renormalization group
• Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons
• Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• Brick Walls on the Brane
• Accretion of Dark Energy onto Higher Dimensional Charged BTZ Black Hole
• Nonextreme black holes near the extreme state and acceleration horizons: thermodynamics and quantum-corrected geometry
• Entanglement entropy in all dimensions
• Remarks on 't Hooft's Brick Wall Model
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Higher order WKB corrections to black hole entropy in brick wall formalism
• Entropy of BTZ black strings in the brick wall approach