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Irreducible Decomposition of Einstein's Equations in Spacetimes with Symmetries

โœ Scribed by Elias Zafiris


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
305 KB
Volume
263
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


In this paper we develop a method to write Einstein's field equations for general matter in an irreducible form that fully incorporates the character of a symmetry introduced in spacetime. We express our method using the framework of double congruences and thus the formalism is covariant. The basic notion on which it is based is that of the geometrisation of a general symmetry. We apply our general scheme to the case of a spacelike conformal Killing vector field on the spacetime manifold regarding the situations of a perfect fluid and anisotropic matter.


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