Generic junction conditions in brane-world scenarios

Details Generic junction conditions in brane-world scenarios Generic junction conditions in brane-world scenarios

2001-01-10

arxiv.org/abs/hep-th/0101061v1

Phys.Lett. B509 (2001) 331-336

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1016/S0370-2693(01)00495-6

We present the generic junction conditions obeyed by a co-dimension one brane in an arbitrary background spacetime. As well as the usual Darmois-Israel junction conditions which relate the discontinuity in the extrinsic curvature to the to the energy-momentum tensor of matter which is localized to the brane, we point out that another condition must also be obeyed. This condition, which is the analogous to Newton's second law for a point particle, is trivially satisfied when $Z_2$ symmetry is enforced by hand, but in more general circumstances governs the evolution of the brane world-volume. As an illustration of its effect we compute the force on the brane due to a form field.

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