Statistical entropy of a BTZ black hole in topologically massive gravity

TL;DR

This paper provides a consistent statistical interpretation of the entropy of a BTZ black hole in topologically massive gravity, confirming it aligns with thermodynamic laws and discussing logarithmic corrections.

Contribution

It offers a new, consistent statistical interpretation of black hole entropy in topologically massive gravity, resolving previous inconsistencies.

Findings

Entropy matches Bekenstein-Hawking entropy when interpreted statistically.

Thermodynamic laws are preserved with the new entropy formulation.

Logarithmic corrections to entropy are analyzed.

Abstract

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation for the entropy, and confirm it to be thermodynamic entropy by preserving the first and second laws. As a novel extension, the logarithmic correction to the black hole entropy is also discussed.