Classical corrections to black hole entropy in $d$ dimensions: a rear window to quantum gravity?

Abstract

We provide a simple derivation of the corrections for Schwarzschild and Schwarzschild-Tangherlini black hole entropy without knowing the details of quantum gravity. We will follow Bekenstein, Wheeler and Jaynes ideas, using summations techniques without calculus approximations, to directly find logarithmic corrections to well-known entropy formula for black holes. Our approach is free from pathological behaviour giving negative entropy for small values of black hole mass $M$. With the aid of Universality principle we will argue that this purely classical approach could open a window for exploring properties of quantum gravity.

arXiv commentarXiv admin note: text overlap with arXiv:0709.1812, arXiv:0906.4194 by other authors

References in corpus (13)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Thermodynamical Aspects of Gravity: New insights
• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Hawking Radiation and Black Hole Thermodynamics
• Universality of Quantum Entropy for Extreme Black Holes
• Loop quantum gravity: an outside view
• A new holographic entropy bound from quantum geometry
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Geometric flows and black hole entropy
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• A Bohr's Semiclassical Model of the Black Hole Thermodynamics
• Existence of a Semiclassical Approximation in Loop Quantum Gravity