Modified Dispersion Relations and Black Hole Entropy

Details Modified Dispersion Relations and Black Hole Entropy Modified Dispersion Relations and Black Hole Entropy

2009-02-23

arxiv.org/abs/0902.3927v2

Phys.Lett.B685:329-337,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX 12 Pages. Extended Version of the paper accepted for publication in PLB. References added

Scientific paper

10.1016/j.physletb.2010.02.012

We compute the black hole entropy in the context of the Modified Dispersion Relations using the brick wall model. An explicit dependence of the radial coordinate approaching the horizon is shown to analyze the behavior of the divergence. We find that, due to the modification of the density of states, the brick wall can be eliminated. By assuming a specific form for the radial coordinate $r(E/E_{P}) $, we examine a possible candidate for $r(E/E_{P}) $. A comparison with the 't Hooft approach is presented.

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