General Relativity and Gravitation

, Volume 21, Issue 7, pp 741–745

Conserved quantities from piecewise Killing vectors

  • Tevian Dray
  • T. Padmanabhan
Research Articles

Abstract

In the presence of symmetries, conserved quantities can be obtained by contracting the stress-energy tensor with a Killing vector. We generalize this result to piecewise Killing vectors by giving sufficient conditions for the construction of an associated conserved quantity. A typical example, namely, two stationary space-times joined together in such a way that the resulting space-time is not stationary, is treated in detail.

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References

  1. 1.
    Dray, T., and 't Hooft, G. (1985).Commun. Math. Phys.,99, 613.Google Scholar
  2. 2.
    Dray, T., and Joshi, P. S. (1989).Class. Quant. Grav., (to appear).Google Scholar
  3. 3.
    Clarke, C. J. S., and Dray, T. (1987).Class. Quant. Grav.,4, 265.Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Tevian Dray
    • 1
  • T. Padmanabhan
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombayIndia
  2. 2.Department of MathematicsOregon State UniversityCorvallis

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