Towards the entropy of gravity time-dependent models via the Cardy-Verlinde formula

Details Towards the entropy of gravity time-dependent models via the Cardy-Verlinde formula Towards the entropy of gravity time-dependent models via the Cardy-Verlinde formula

2003-04-23

arxiv.org/abs/hep-th/0304196v1

Phys.Rev. D68 (2003) 026002

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1103/PhysRevD.68.026002

For models with several time-dependent components generalized entropies can be defined. This is shown for the Bianchi type IX model. We first derive the Cardy-Verlinde formula under the assumption that the first law of thermodynamics is valid. This leads to an explicit expression of the total entropy associated with this type of universes. Assuming the validity of the Cardy entropy formula, we obtain expressions for the corresponding Bekenstein, Bekenstein-Hawking and Hubble entropies. We discuss the validity of the Cardy-Verlinde formula and possible extensions of the outlined procedure to other time-dependent models.

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