General Relativity and Gravitation

, Volume 21, Issue 7, pp 741–745 | Cite as

Conserved quantities from piecewise Killing vectors

  • Tevian Dray
  • T. Padmanabhan
Research Articles


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.


Differential Geometry Killing Vector 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations