Conserved quantities from piecewise Killing vectors
- Cite this article as:
- Dray, T. & Padmanabhan, T. Gen Relat Gravit (1989) 21: 741. doi:10.1007/BF00759083
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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.