Einstein gravity on an even codimension brane

Details Einstein gravity on an even codimension brane Einstein gravity on an even codimension brane

2005-02-18

arxiv.org/abs/hep-th/0502171v3

Phys.Rev. D72 (2005) 064005

Physics

High Energy Physics

High Energy Physics - Theory

minor changes, published version

Scientific paper

10.1103/PhysRevD.72.064005

We give the equations of motion for a self-gravitating Dirac p-brane embedded in an even co-dimension spacetime. The dynamics of the bulk are dictated by Lovelock gravity and permit matching conditions, even when the codimension is strictly greater than 2. We show that the equations of motion involve both induced Lovelock densities on the brane and regular extrinsic curvature terms. The brane dynamics can be derived from an exact (p+1)-dimensional induced action. The Dirac charge is carried by an overall (solid) angle defect which sets the Planck scale on the brane. In particular, if the codimension is greater than the worldvolume dimension of the p-brane, we show that the extrinsic curvature terms cancel, leaving an exact induced Lovelock theory. For example, a 3-brane embedded in 8 or 10 dimensions obeys Einstein's equations with a cosmological constant.

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