Entropy of Anisotropic Universe and Fractional Branes

Details Entropy of Anisotropic Universe and Fractional Branes Entropy of Anisotropic Universe and Fractional Branes

2007-02-26

arxiv.org/abs/hep-th/0702202v2

Gen.Rel.Grav.39:1773-1788,2007

Physics

High Energy Physics

High Energy Physics - Theory

Version 2: 21 pages. More discussion and references added. To appear in General Relativity and Gravitation

Scientific paper

10.1007/s10714-007-0488-1

We obtain the entropy of a homogeneous anisotropic universe applicable, by assumption, to the fractional branes in the universe in the model of Chowdhury and Mathur. The entropy for the 3 or 4 charge fractional branes thus obtained is not of the expected form E^{{3/2}} or E^2. One way the expected form is realised is if p \to \rho for the transverse directions and if the compact directions remain constant in size. These conditions are likely to be enforced by brane decay and annihilation, and by the S, T, U dualities. T duality is also likely to exclude high entropic cases, found in the examples, which arise due to the compact space contracting to zero size. Then the 4 charge fractional branes may indeed provide a detailed realisation of the maximum entropic principle we proposed recently to determine the number (3 + 1) of large spacetime dimensions.

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