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

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

2011-11-16

arxiv.org/abs/1111.3807v2

Phys. Lett. B 706 (2012) 431

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, to appear in PLB

Scientific paper

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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