Abstract
Here we investigate some possible choices (Ricci flat, Einstein and pure radiation type) of the induced energy momentum tensor on a class of totally geodesic lightlike hypersurfaces M 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 properties of induced conformal and affine conformal vector fields, on M, respectively. Finally, we present a few examples of lightlike hypersurfaces of physically significant spacetimes of relativity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Duggal, K.L., Bejancu, A. (1996). Lightlike Hypersurfaces and General Relativity. In: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Mathematics and Its Applications, vol 364. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2089-2_9
Download citation
DOI: https://doi.org/10.1007/978-94-017-2089-2_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4678-9
Online ISBN: 978-94-017-2089-2
eBook Packages: Springer Book Archive