A Stringy Correspondence Principle in Cosmology

Details A Stringy Correspondence Principle in Cosmology A Stringy Correspondence Principle in Cosmology

2006-03-28

arxiv.org/abs/hep-th/0603216v2

Phys.Lett.B638:100-104,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. V2: More references added and some minor textual modifications made

Scientific paper

10.1016/j.physletb.2006.05.047

We study a d-dimensional FRW universe, containing a perfect fluid with p = w \rho and \frac{1} {d - 1} \le w \le 1, and find a correspondence principle similar to that of Horowitz and Polchinski in the black hole case. This principle follows quite generally from thermodynamics and the conservation of energy momentum tensor, and can be stated along similar lines as in the black hole case: ``When the temperature T of the universe becomes of order string scale the universe state becomes a highly excited string state. At the transition, the entropies and energies of the universe and strings differ by factors of {\cal O}(1).'' Such a matching is absent for w \ne 1 if the transition is assumed to be when the curvature or the horizon length is of order string scale.

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