Self-gravitational corrections to the Cardy-Verlinde formula of charged BTZ black hole

TL;DR

This paper investigates how self-gravitational effects modify the entropy formula of charged BTZ black holes, revealing that these corrections are positive and challenge the universality of the holographic bound in 2D gravity models.

Contribution

It introduces self-gravitational corrections to the Cardy-Verlinde entropy formula for charged BTZ black holes using KKW analysis, highlighting non-universality of the holographic bound.

Findings

Self-gravitational corrections to entropy are positive.

Corrections suggest holographic bound is not universal in 2D gravity.

Supports non-universality of holographic bounds in specific models.

Abstract

The entropy of the charged BTZ black hole horizon is described by the Cardy-Verlinde formula. We then compute the self-gravitational corrections to the Cardy-Verlinde formula of the charged BTZ black hole in the context of Keski-Vakkuri, Kraus and Wilczek (KKW) analysis. The self-gravitational corrections to the entropy as given by the Cardy-Verlinde formula are found to be positive. This result provides evidence in support of the claim that the holographic bound is not universal in the framework of two-dimensional gravity models.