Focusing of branes in warped backgrounds

Details Focusing of branes in warped backgrounds Focusing of branes in warped backgrounds

2007-02-24

arxiv.org/abs/gr-qc/0702131v1

Indian Journal of Physics, 80 (9), 873 (2006) (Special issue dedicated to the memory of A K Raychaudhuri)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, one figure

Scientific paper

Branes are embedded surfaces in a given background (bulk) spacetime. Assuming a warped bulk, we investigate, in analogy with the case for geodesics, the notion of {\em focusing} of families of such embedded, extremal 3--branes in a five dimensional background . The essential tool behind our analysis, is the well-known generalised Raychaudhuri equations for surface congruences. In particular, we find explicit solutions of these equations, which seem to show that families of 3--branes can focus along lower dimensional submanifolds depending on where the initial expansions are specified. We conclude with comments on the results obtained and possibilities about future work along similar lines.

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