Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach

TL;DR

This paper derives the logarithmic correction to black hole entropy in a gravity theory with conformal anomaly using quantum tunneling, explaining the correction through self-gravitation effects.

Contribution

It introduces a quantum tunneling method to derive the logarithmic entropy correction for black holes with conformal anomaly, linking it to self-gravitation effects.

Findings

Logarithmic entropy correction is derived for black holes with conformal anomaly.

Self-gravitation explains the origin of the logarithmic correction.

Method provides a semi-classical approach to black hole entropy corrections.

Abstract

Using quantum tunneling approach, we are able to derive the entropy with logarithmic term of the static spherically symmetric black hole in semi-classical Einstein equations with conformal anomaly. The results indicate that the logarithmic correction to Bekenstein-Hawking area entropy can be well explained by the self-gravitation.