Brane Gravity from Bulk Vector Field

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages, LaTeX, no figures, the version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)03208-2

It is shown that Einstein's equations on the brane can be received from the multi-dimensional vector field equations in pseudo-Euclidean space. The idea is based on the observation that the brane geometry can be equivalently described by the intrinsic metric or by the derivatives of its normal. From the other hand the normal to the brane can be constructed with the components of some multi-dimensional vector fields. For the both cases 4-dimensional effective action for gravity appears to be the same.

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