Spherically Symmetric Solutions and Dark Matter on the Brane

Details Spherically Symmetric Solutions and Dark Matter on the Brane Spherically Symmetric Solutions and Dark Matter on the Brane

2000-05-03

arxiv.org/abs/hep-th/0005033v1

Gen.Rel.Grav.34:471-476,2002

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, LATEX

Scientific paper

10.1023/A:1015584523028

It has recently been suggested that our universe is a three-brane embedded in a higher dimensional spacetime. In this paper I examine static, spherically symmetric solutions that satisfy the effective Einstein field equations on a brane embedded in a five dimensional spacetime. The field equations involve a term depending on the five dimensional Weyl tensor, so that the solutions will not be Schwarzschild in general. This Weyl term is traceless so that any solution of $^{(4)}R=0$ is a possible four dimensional spacetime. Different solutions correspond to different five dimensional spacetimes and to different induced energy-momentum tensors on the brane. One interesting possibility is that the Weyl term could be responsible for the observed dark matter in the universe.

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