The Black Hole Entropy Can Be Smaller than A/4

TL;DR

This paper demonstrates that coupling a Nambu-Goto string to gravity modifies the black hole entropy-area relation, potentially making the entropy smaller than the standard A/4, depending on string tension.

Contribution

It introduces a new model where string coupling alters the black hole entropy, challenging the traditional Bekenstein-Hawking relation.

Findings

Black hole entropy can be less than A/4 due to string effects

The entropy-area relation is modified by a factor involving string tension

Potential implications for black hole thermodynamics and quantum gravity

Abstract

The coupling of a Nambu-Goto string to gravity allows for Schwarzschild black holes whose entropy to area relation is $S=(A/4)(1-4\mu)$, where $\mu$ is the string tension.