Canonical variation of a Lorentzian metric |
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Authors: | Benjamí n Olea |
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Affiliation: | Departamento de Matemáticas, Instituto E.S. Torre Almenara, Mijas, Málaga, Spain |
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Abstract: | Given a Lorentzian manifold (M,gL) and a timelike unitary vector field E , we can construct the Riemannian metric gR=gL+2ω⊗ω, ω being the metrically equivalent one form to E. We relate the curvature of both metrics, especially in the case of E being Killing or closed, and we use the relations obtained to give some results about (M,gL). |
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Keywords: | Canonical variation Lorentzian metric Killing vector field Closed vector field Lightlike hypersurfaces |
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