Titlebook: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications; Krishan L. Duggal,Aurel Bejancu Book 1996 Springer Science+Business

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Lightlike Hypersurfaces and General Relativity,eodesic lightlike hypersurfaces . of 4-dimensional spacetime manifolds. We show that there does not exist any induced non-singular electromagnetic energy momentum tensor field and its singular type belongs to a class of pure radiation fields. Based on this, in sections 9.2 and 9.3, we study some pro

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978-90-481-4678-9Springer Science+Business Media Dordrecht 1996

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Geometry of Null Curves in Lorentz Manifolds,The purpose of this chapter is to present the basic results on the general study of null curves in Lorentz manifolds. The reader will know at the end of this chapter as to why the discussion is restricted to Lorentz manifolds.

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Algebraic Preliminaries,e material should be familar to the reader, but we stress with a quasi-orthonormal basis induced by degenerate subspaces, which some readers may find unfamiliar. In particular, we included the null tetrad formalism, used in relativity, the linear isometries of semi-Euclidean spaces and their semi-orthogonal groups.

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ing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of t

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