Lightlike Hypersurfaces and General Relativity

  • Krishan L. Duggal
  • Aurel Bejancu
Part of the Mathematics and Its Applications book series (MAIA, volume 364)


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.


Vector Field Energy Momentum Tensor Spacelike Hypersurface Constant Scalar Curvature Einstein Field Equation 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Krishan L. Duggal
    • 1
  • Aurel Bejancu
    • 2
  1. 1.University of WindsorWindsorCanada
  2. 2.Polytechnic Institute of IaşiIaşiRomania

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