A Stringy Correspondence Principle in Cosmology
arXiv:hep-th/0603216 · doi:10.1016/j.physletb.2006.05.047
Abstract
We study a d-dimensional FRW universe, containing a perfect fluid with p = w ρand \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.
14 pages. V2: More references added and some minor textual modifications made
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- An equation of state in the limit of high densities
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- Running of effective dimension and cosmological entropy in early universe
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- Relic Radiation from an Evaporating Black Hole
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- A Class of LQC--inspired Models for Homogeneous, Anisotropic Cosmology in Higher Dimensional Early Universe
- Study of Early Universe in an M Theoretic Model
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- Non singular M theory Universe in Loop Quantum Cosmology -- inspired Models