Cosmological Models and Renormalization Group Flow

Abstract

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.

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

References in corpus (8)

• Cosmology and the Fate of Dilatation Symmetry
• The dS/CFT Correspondence
• Inflation and the dS/CFT Correspondence
• Deconstructing de Sitter
• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• Bekenstein bounds in de Sitter and flat space
• The Long-Term Future of Extragalactic Astronomy
• Dark Energy and the Observable Universe

Cited by in corpus (8)

• Exploring de Sitter Space and Holography
• Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS/CFT
• Inflationary Perturbations from Deformed CFT
• A new twist on dS/CFT
• Tall tales from de Sitter space II: Field theory dualities
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• Of Bounces, Branes and Bounds
• Dwelling on de Sitter