Cardy-Verlinde formula for an axially symmetric dilaton-axion black hole

TL;DR

This paper demonstrates that the entropy of an axially symmetric dilaton-axion black hole can be represented by the Cardy-Verlinde formula and explores quantum corrections to this relationship.

Contribution

It introduces a modified Cardy-Verlinde formula incorporating first-order quantum corrections for this specific black hole model.

Findings

Entropy expressed via Cardy-Verlinde formula

Quantum corrections modify Casimir and extensive energies

First-order corrections to the entropy formula derived

Abstract

It is shown that the Bekenstein-Hawking entropy of an axially symmetric dilaton-axion black hole can be expressed as a Cardy-Verlinde formula. By utilizing the first order quantum correction in the Bekenstein-Hawking entropy we find the modified expressions for the Casimir energy and pure extensive energy. The first order correction to the Cardy-Verlinde formula in the context of axially symmetric dilaton-axion black hole are obtained with the use of modified Casimir and pure extensive energies.