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arXiv · 1111.3807

Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions

A. S. Sefiedgar·H. R. Sepangi
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Abstract

The modified dispersion relation as a common feature of all quantum gravity scenarios provides a perturbation framework upon which the black hole thermodynamics can be corrected. In this letter, we obtain the corrections to the $d$-dimensional Schwarzschild black hole thermodynamics by utilizing the extra dimensional form of the modified dispersion relation, leading to the modification of the Cardy-Verlinde formula. Furthermore, we show that the modified dispersion relation corrections to the Cardy-Verlinde formula can be taken into account by redefining the Virasoro operator and the central charge.

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A. S. Sefiedgar, H. R. Sepangi. 2011-11-16. Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions. https://doi.org/10.1016/j.physletb.2011.11.027

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