Chandrasekhar, Subrahmanyan ; Ferrari, Valeria (1991) The Einstein pseudo-tensor and the flux integral for perturbed static space-times Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 435 (1895). pp. 645-657. ISSN 1364-5021
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Official URL: http://rspa.royalsocietypublishing.org/content/435...
Related URL: http://dx.doi.org/10.1098/rspa.1991.0167
Abstract
The flux integral for axisymmetric polar perturbations of static vacuum space-times, derived in an earlier paper directly from the relevant linearized Einstein equations, is rederived with the aid of the Einstein pseudo-tensor by a simple algorism. A similar earlier effort with the aid of the Landau-Lifshitz pseudo-tensor failed. The success with the Einstein pseudo-tensor is due to its special distinguishing feature that its second variation retains its divergence-free property provided only the equations governing the static space-time and its linear perturbations are satisfied. When one seeks the corresponding flux integral for Einstein-Maxwell space-times, the common procedure of including, together with the pseudo-tensor, the energy-momentum tensor of the prevailing electromagnetic field fails. But, a prescription due to R. Sorkin, of including instead a suitably defined 'Noether operator', succeeds.
Item Type: | Article |
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Source: | Copyright of this article belongs to The Royal Society. |
ID Code: | 70288 |
Deposited On: | 16 Nov 2011 04:21 |
Last Modified: | 16 Nov 2011 04:21 |
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