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Algebraically special coplanar shear-free perfect fluids in general relativity

journal contribution
posted on 2005-01-07, 00:00 authored by K Vu, John Carminati
We investigate all algebraically special, not conformally flat, shear-free, isentropic (p(w), w + p ≠ 0), perfect fluid solutions of Einstein's field equations. We show, using the GHP formalism, that if the repeated principle null direction of the Weyl tensor is coplanar with the fluid's 4-velocity and vorticity vector (assumed nonzero), then the fluid's expansion must vanish.

History

Journal

Classical and quantum gravity

Volume

22

Issue

1

Pagination

227 - 243

Publisher

Institute of Physics Publishing

Location

London, England

ISSN

0264-9381

eISSN

1361-6382

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2005, Institute of Physics Publishing

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