GRAVITATIONAL FIELD OF SPHERICAL BRANES

MERAB GOGBERASHVILI
2008 Modern Physics Letters A  
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
more » ... e, in agreement with Tolman's formula, is negative, i.e. such objects are gravitationally repulsive.
doi:10.1142/s0217732308028405 fatcat:xemb3zjrtvdmlegec5txfqf2a4