Exact differential and quantum corrections of entropy for axially symmetric black holes

TL;DR

This paper investigates quantum corrections to the entropy of axially symmetric black holes using the exactness criteria from the first law of thermodynamics, providing insights into black hole thermodynamics.

Contribution

It introduces a method to compute quantum corrections to black hole entropy specifically for axially symmetric solutions, extending previous approaches.

Findings

Derived explicit expressions for quantum corrections to entropy.

Validated the exactness criteria for axially symmetric black holes.

Enhanced understanding of thermodynamic properties of rotating black holes.

Abstract

Using the exactness criteria of entropy from the first law of black hole thermodynamics, we study quantum corrections for axially symmetric black holes.