Semiclassical Corrections to the Cardy-Verlinde Formula of Kerr Black Holes

TL;DR

This paper calculates semiclassical corrections to the Cardy-Verlinde entropy formula for Kerr black holes using KKW analysis, showing that these corrections can be incorporated by redefining key parameters in the formula.

Contribution

It introduces a method to include semiclassical self-gravitational effects into the Cardy-Verlinde formula for Kerr black holes by redefining the Virasoro operator and central charge.

Findings

Semiclassical corrections modify the entropy formula.

Corrections are derived via KKW analysis.

Redefinitions of $L_0$ and $c$ incorporate quantum effects.

Abstract

In this letter, we compute the corrections to the Cardy-Verlinde formula of $4-$dimensional Kerr black hole. These corrections are considered within the context of KKW analysis and arise as a result of the self-gravitational effect. Then we show, one can taking into account the semiclassical corrections of the Cardy-Verlinde entropy formula by just redefining the Virasoro operator $L_0$ and the central charge $c$.