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

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.

preprint2011arXivOpen access
A. S. SefiedgarH. R. Sepangi
gr-qchep-th
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A. S. SefiedgarH. R. Sepangi

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