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Algebraically general and gravito-electric rotating dust

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
L. Wylleman  and
N. Van den Bergh
L. Wylleman
Affiliation:
Faculty of Applied Sciences TW16, Gent University, Galglaan 2, 9000 Gent, Belgium
N. Van den Bergh
Affiliation:
Faculty of Applied Sciences TW16, Gent University, Galglaan 2, 9000 Gent, Belgium
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Abstract

An invariant classification scheme of algebraically general rotating dust with a purely electric Weyl tensor is presented. It turns out that the vorticity vector of the dust congruence is necessarily parallel to a Weyl principal vector, which is moreover geodesic. An explicit metric expression can be obtained for the subclass of expanding models with one functionally independent zero-order Riemann invariant. The basic equations for the general case, where there are two such invariants, are given within a weighted 1+1+2 tetrad formalism.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 237 - 240
Copyright
© EAS, EDP Sciences, 2008

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References

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