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Lightlike Hypersurfaces And Electromagnetism

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

Abstract

In this Chapter we apply some results of Chapters 4 and 7 to study a class of lightlike hypersurfaces M of 4-dimensional electromagnetic spacetimes. Section 8.1 deals with the needed basic information on Minkowski spacetime. In section 8.2, we study a class of invariant lightlike hypersurfaces having induced non-singular and singular electromagnetic tensor fields denoted by F. We show that F on M exists if and only if M is totally geodesic. Section 8.3 deals with some geometric properties of (1,1) tensor fields (associated to F) satisfying an algebraic cubic equation. We show that a class of electromagnetic invariant lightlike hypersurfaces comes from the physically significant homogeneous spacetime manifolds of general relativity.

Keywords

Maxwell Equation Tensor Field Minkowski Spacetime Spacetime Manifold Connection Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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