Encoding the scaling of the cosmological variables with the Euler Beta function

Details Encoding the scaling of the cosmological variables with the Euler Beta function Encoding the scaling of the cosmological variables with the Euler Beta function

2002-10-28

arxiv.org/abs/hep-th/0210266v3

Int.J.Mod.Phys. A20 (2005) 4917-4924

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 11 pages, 1 figure; reference added; minor changes commenting the nature of the holographic principle and the particl

Scientific paper

10.1142/S0217751X05025358

We study the scaling exponents for the expanding isotropic flat cosmological models. The dimension of space, the equation of state of the cosmic fluid and the scaling exponent for a physical variable are related by the Euler Beta function that controls the singular behavior of the global integrals. We encounter dual cosmological scenarios using the properties of the Beta function. For the entropy density integral we reproduce the Fischler-Susskind holographic bound.

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