Gravitational Field of Spherical Branes

Details Gravitational Field of Spherical Branes Gravitational Field of Spherical Branes

2007-07-10

arxiv.org/abs/0707.1431v3

Mod.Phys.Lett.A23:2979-2986,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor corrections, 8 pages, the version accepted by Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732308028405

The warped solution of Einstein's equations corresponding to the spherical brane in five-dimensional AdS is considered. This metric represents interiors of black holes on both sides of the brane and can provide gravitational trapping of physical fields on the shell. It is found the analytic form of the coordinate transformations from the Schwartschild to co-moving frame that exists only in five dimensions. It is shown that in the static coordinates active gravitational mass of the spherical brane, in agreement with Tolman's formula, is negative, i.e. such objects are gravitationally repulsive.

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