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Phys. Rev. D 68, 026002 (2003) [6 pages]

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

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Octavio Obregón*
Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 OWA, United Kingdom

Leonardo Patiño and Hernando Quevedo†
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, P.O. Box 70-543, 04510 México D.F., Mexico

Received 22 April 2003; published 7 July 2003

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 universe. 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.026002
DOI:
10.1103/PhysRevD.68.026002
PACS:
11.25.Hf, 04.20.Jb, 98.80.Jk

*Permanent address: Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150 León Gto., Mexico; electronic address: octavio@ifug3.ugto.mx

†Electronic address: jaidar, quevedo@nuclecu.unam.mx

 
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