Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-18
Int.J.Mod.Phys.A17:4809-4870,2002
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 86 pages, discussion is extended, new appendix is added
Scientific paper
10.1142/S0217751X02012156
In the first part of this work we review the equations of motion for the brane presented in Friedmann-Robertson-Walker (FRW) form, when bulk is five-dimensional (A)dS Black Hole. The spacelike (timelike) FRW brane equations are considered from the point of view of their representation in the form similar to two-dimensional CFT entropy, so-called Cardy-Verlinde (CV) formula. The following five-dimensional gravities are reviewed: Einstein, Einstein-Maxwell and Einstein with brane quantum corrections. The second part of the work is devoted to study FRW brane equations and their representation in CV form, brane induced matter and brane cosmology in Einstein-Gauss-Bonnet (GB) gravity. In particular, we focus on the inflationary brane cosmology. The energy conditions for brane matter are also analyzed. We show that for some values of GB coupling constant (bulk is AdS BH) the brane matter is not CFT. Its energy density and pressure are not always positive.
Nojiri Shin'ichi
Odintsov Sergei D.
Ogushi Sachiko
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