General Logarithmic Corrections to Black Hole Entropy

TL;DR

This paper derives universal logarithmic corrections to black hole entropy from statistical fluctuations, extending previous results to various black hole types and exploring the role of conformal field theory in these corrections.

Contribution

It provides a general framework for calculating leading order entropy corrections for diverse black holes, including higher-dimensional cases, and links these corrections to conformal field theory.

Findings

Logarithmic corrections are of the form -k ln(Area)

For BTZ black holes, k=3/2

Corrections apply to anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes

Abstract

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ black holes, $k=3/2$, as found earlier. We extend the result to anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary dimensions. Finally we examine the role of conformal field theory in black hole entropy and its corrections.