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

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.

14 pages, LaTeX; v2: 12 pages, some refs added, Section 2 removed, clarifying comments added in Introduction and in Section 2 (of v2), a new paragraph in Conclusions, no physics changed, version to appear in PLB