Derivation of the Entropy-Area relation for the Extremal Black Hole in Four Dimensions

TL;DR

This paper derives the entropy-area relation for extremal black holes in four dimensions, incorporating strong interaction effects, and confirms its consistency with the Bekenstein-Hawking formula.

Contribution

It introduces a modified Reissner-Nordstrom metric with a new term from strong interactions, deriving an entropy-area relation consistent with established black hole thermodynamics.

Findings

Modified Reissner-Nordstrom metric with a 1/r^3 term

Derived entropy-area relation matches Bekenstein-Hawking

Shows strong interactions influence black hole entropy

Abstract

The relation between entropy and the area of the event horizon of a quantum blackhole in four dimensions is derived. The Reissner-Nordstrom metric for a non-rotating, charged black hole is shown to be modified by the addition of a new $\frac{1}{r^3}$ term arising from the strong interaction. The resulting entropy-area relation agrees with the Bekenstein-Hawking relation.