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Open Access item Cardy–Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity

Authors:Brevik, Iver
Nojiri, Shin'ichi
Odintsov, Sergei D.
Sáez-Gómez, Diego
Issue Date:Oct-2010
Citation:European Physical Journal C - Particles and Fields 69 (3-4) : 563-574 (2010)
Abstract:We derive a formula for the entropy for a multicomponent coupled fluid, which under special conditions reduces to the Cardy–Verlinde form relating the entropy of a closed FRW universe to its energy together with its Casimir energy. The generalized fluid obeys an inhomogeneous equation of state. A viscous dark fluid is included, and also modified gravity is included in terms of its fluid representation. It is demonstrated how such an expression reduces to the standard Cardy–Verlinde formula corresponding to the 2d CFT entropy in some special cases. The dynamical entropy bound for a closed FRW universe with dark components is obtained. The universality of the dynamical entropy bound near a future singularity (of all known four types), as well as near the Big Bang singularity, is investigated. It is demonstrated that, except from some special cases of Type II and Type IV singularities, the dynamical entropy bound is violated near the singularity even if quantum effects are taken into account. The dynamical entropy bound seems to be universal for the case of a regular universe, including the asymptotic de Sitter universe.
Description:The final publication is available at www.springerlink.com
Publisher version (URL):http://dx.doi.org/10.1140/epjc/s10052-010-1425-0
E-ISSNmetadata.dc.identifier.doi = DOI:1434-6052
Appears in Collections:(ICE) Artículos

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