Conservation laws in general relativity and in the post-Newtonian approximations

Chandrasekhar, S. (1969) Conservation laws in general relativity and in the post-Newtonian approximations Astrophysical Journal, 158 . pp. 45-54. ISSN 0004-637X

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Official URL: http://adsabs.harvard.edu/abs/1969ApJ...158...45C

Related URL: http://dx.doi.org/10.1086/150170

Abstract

It is shown how the exact conservation laws of general relativity, expressed in terms of the symmetric energy-momentum complex of Landau and Lifshitz, can be used to determine the various conserved quantities in the different post-Newtonian approximations. Particular attention is given to the conserved energy which emerges as the integral over the whole of space of the difference between the (O,O)-component of the Landau-Lifshitz complex and the energy of the conserved mass present. The method is illustrated in the framework of the first post-Newtonian equa.tions of hydrodynamics.

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ID Code:74366
Deposited On:12 Dec 2011 05:11
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