Algebraically special coplanar shear-free perfect fluids in general relativity

Details Algebraically special coplanar shear-free perfect fluids in general relativity Algebraically special coplanar shear-free perfect fluids in general relativity

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cqgra..22..227v&link_type=abstract

Classical and Quantum Gravity, Volume 22, Issue 1, pp. 227-243 (2005).

Physics

1

Scientific paper

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.

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