Conserved quantities from piecewise Killing vectors |
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| Authors: | Tevian Dray T Padmanabhan |
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| Institution: | (1) Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Bombay, India;(2) Present address: Department of Mathematics, Oregon State University, 97331 Corvallis, Oregon |
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| 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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