Cosmological Models and Renormalization Group Flow

Details Cosmological Models and Renormalization Group Flow Cosmological Models and Renormalization Group Flow

2002-04-06

arxiv.org/abs/hep-th/0204058v3

JHEP 0205 (2002) 011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 11 figures, v2: improved discussion of entropy bounds, references added, v3: minor changes, reference added

Scientific paper

10.1088/1126-6708/2002/05/011

We study cosmological solutions of Einstein gravity with a positive cosmological constant in diverse dimensions. These include big-bang models that re-collapse, big-bang models that approach de Sitter acceleration at late times, and bounce models that are both past and future asymptotically de Sitter. The re-collapsing and the bounce geometries are all tall in the sense that entire spatial slices become visible to a comoving observer before the end of conformal time, while the accelerating big-bang geometries can be either short or tall. We consider the interpretation of these cosmological solutions as renormalization group flows in a dual field theory and give a geometric interpretation of the associated c-function as the area of the apparent cosmological horizon in Planck units. The covariant entropy bound requires quantum effects to modify the early causal structure of some of our big-bang solutions.

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