Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-09-18
Gen.Rel.Grav. 36 (2003) 193-197
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages revtex4. Added references
Scientific paper
10.1023/B:GERG.0000006965.74658.
A class of spherically symmetric spacetimes invariantly defined by a zero flux condition is examined first from a purely geometrical point of view and then physically by way of Einstein's equations for a general fluid decomposition of the energy-momentum tensor. The approach, which allows a formal inversion of Einstein's equations, explains, for example, why spherically symmetric perfect fluids with spatially homogeneous energy density must be shearfree.
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