Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-27
Class.Quant.Grav. 19 (2002) 919-934
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, Latex; references added and Section 5 enhanced
Scientific paper
10.1088/0264-9381/19/5/306
We consider a brane universe in an asymptotically de Sitter background spacetime of arbitrary dimensionality. In particular, the bulk spacetime is described by a ``topological de Sitter'' solution, which has recently been investigated by Cai, Myung and Zhang. In the current study, we begin by showing that the brane evolution is described by Friedmann-like equations for radiative matter. Next, on the basis of the dS/CFT correspondence, we identify the thermodynamic properties of the brane universe. We then demonstrate that many (if not all) of the holographic aspects of analogous AdS-bulk scenarios persist. These include a (generalized) Cardy-Verlinde form for the CFT entropy and various coincidences when the brane crosses the cosmological horizon.
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