Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-28
Phys.Rev.D76:124009,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages
Scientific paper
10.1103/PhysRevD.76.124009
We consider a thick p-brane embedded in an n-dimensional spacetime possessing radial symmetry in the directions orthogonal to the brane. We first consider a static brane, and find a general fine tuning relationship between the brane and bulk parameters required for the brane to be flat. We then consider the cosmology of a time dependent brane in a static bulk, and find the Friedmann equation for the brane scale factor a(t). The singularities that would ordinarily arise when considering arbitrary codimensions are avoided by regularizing the brane, giving it a finite profile in the transverse dimensions. However, since we consider the brane to be a strictly local defect, we find that the transverse dimensions must have infinite volume, and hence gravity cannot be localized on the brane without resorting to some infra-red cutoff.
Appleby Stephen A.
Battye Richard A.
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