Radiating sources in higher-dimensional gravity

Details Radiating sources in higher-dimensional gravity Radiating sources in higher-dimensional gravity

2001-04-03

arxiv.org/abs/gr-qc/0104009v2

J.Math.Phys.42:4963-4970,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 20 pages, no figures. to appear in J. Math. Phys

Scientific paper

10.1063/1.1401139

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.

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