Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state.

Details Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state.

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1239c&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 12, pp.1239-1248

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2

General Relativity

Scientific paper

We present the class of Petrov-typeN, shear-free, perfect-fluid solutions of Einstein's field equations in which the fluid satisfies a barotropic equation of statep=p(w) andw+p≢0. All solutions are stationary and possess a three- parameter, abelian group of local isometries which act simply transitively on timelike hypersurfaces. Furthermore, there exists one Killing vector parallel to the vorticity vector and another parallel to the four-velocity. This class of solutions is identified as part of a larger class present in the literature.

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