Encoding the scaling of the cosmological variables with the Euler Beta function
High Energy Physics - Theory
2009-11-07 v3 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0210266,
title = {Encoding the scaling of the cosmological variables with the Euler Beta function},
author = {M. A. Per and A. J. Segui},
journal= {arXiv preprint arXiv:hep-th/0210266},
year = {2009}
}
Comments
Latex2e, 11 pages, 1 figure; reference added; minor changes commenting the nature of the holographic principle and the particle/event horizon