Radiating sources in higher-dimensional gravity
arXiv:gr-qc/0104009 · doi:10.1063/1.1401139
Abstract
We study a time-dependent 5D metric which contains a static 4D sub-metric whose 3D part is spherically symmetric. An expansion in the metric coefficient allow us to obtain close-to Schwarzschild approximation to a class of spherically-symmetric solutions. Using Campbell's embedding theorem and the induced-matter formalism we obtain two 4D solutions. One describes a source with the stiff equation of state believed to be applicable to dense astrophysical objects, and the other describes a spherical source with a radial heat flow.
Latex, 20 pages, no figures. to appear in J. Math. Phys