General Relativity and Gravitation

, Volume 21, Issue 7, pp 741–745

Conserved quantities from piecewise Killing vectors

  • Tevian Dray
  • T. Padmanabhan
Research Articles

DOI: 10.1007/BF00759083

Cite this article as:
Dray, T. & Padmanabhan, T. Gen Relat Gravit (1989) 21: 741. doi:10.1007/BF00759083


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.

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