Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole

TL;DR

This paper calculates self-gravitational corrections to the entropy of the Achucarro-Ortiz black hole using the Cardy-Verlinde formula, revealing that these corrections are positive and challenge the universality of the holographic bound in 2D gravity.

Contribution

It introduces a method to compute self-gravitational corrections to the Cardy-Verlinde entropy formula for the Achucarro-Ortiz black hole, highlighting non-universality of the holographic bound.

Findings

Self-gravitational corrections are positive.

Corrections challenge the universality of the holographic bound.

Method applies KKW analysis to 2D black hole entropy.

Abstract

Recently, it was shown that the entropy of the black hole horizon in the Achucarro-Ortiz spacetime can be described by the Cardy-Verlinde formula. In this paper, we compute the self-gravitational corrections to the Cardy-Verlinde formula of the two-dimensional Achucarro-Ortiz black hole. These corrections stem from the effect of self-gravitation and they are derived in the context of Keski-Vakkuri, Kraus and Wilczek (KKW) analysis. The black hole under study is therefore treated as a dynamical background. The self-gravitational corrections to the entropy as given by the Cardy-Verlinde formula of Achucarro-Ortiz black hole, 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.