Mohammad R. Setare, Elias C. Vagenas
Published 2003-09-09, updated 2004-01-15Version 2
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.
Comments: 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
Journal: Phys.Lett. B584 (2004) 127-132
The Cardy-Verlinde formula and entropy of black holes in de Sitter spaces
Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
Electromagnetic Beams Overpass the Black Hole Horizon
