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

Carminati, J. (1988) Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. General Relativity and Gravitation, 20 (12). pp. 1239-1248.

Link to Published Version: http://dx.doi.org/10.1007/BF00756051
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Abstract

We present the class of Petrov-type N, shear-free, perfect-fluid solutions of Einstein's field equations in which the fluid satisfies a barotropic equation of state p=p(w) and w+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.

Item Type: Journal Article
Murdoch Affiliation: School of Mathematical and Physical Sciences
Publisher: Plenum Publishing Corporation
Copyright: © 1988 Plenum Publishing Corporation.
URI: http://researchrepository.murdoch.edu.au/id/eprint/34796
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