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

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.

9 pages, to appear in PLB

References in corpus (6)

• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Modified dispersion relations and black hole physics
• Modified dispersion relations in extra dimensions
• Brane-world black hole entropy from modified dispersion relations
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Semiclassical Corrections to the Cardy-Verlinde Formula of Kerr Black Holes

Cited by in corpus (2)

• A possible cosmological application of some thermodynamic properties of the black body radiation in $n-$dimensional Euclidean spaces
• Radiation of Charged Black Holes and Modified Dispersion Relation