General Brane Cosmology with R4 term in (A)dS5 or Minkowski Bulk

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  • 31 August 2001
Abstract
A general analysis of the induced brane dynamics is performed in an (A)dS5 or Minkowski background, when the intrinsic curvature term is included in the brane action. Such a term is known to cause dramatic changes and is generically induced by quantum corrections coming from the bulk gravity and its coupling with matter living on the brane. The induced brane dynamics is shown to be the usual Einstein dynamics coupled to a well-defined modified energy momentum tensor. Conventional general relativity revives for an initial era whose duration depends on the value of the five-dimensional Planck mass. Violations of energy conditions may be possible, as well as matter inhomogeneities on the brane in the above exact bulks. A new anisotropic solution is given in the above context. This solution, for a fine-tuned AdS5 bulk, exhibits an intermediate accelerating phase which is followed by an era corresponding to a 4D perfect fluid solution with no future horizons.

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