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Non conducting spherically symmetric fluids

Kayll Lake
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Abstract

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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Kayll Lake. 2003-02-12. Non conducting spherically symmetric fluids. https://doi.org/10.1023/b%3Agerg.0000006965.74658.1c

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