Conservation Laws in General Relativity and in the PostNewtonian Approximations
Abstract
It is shown how the exact conservation laws of general relativity, expressed in terms of the symmetric energymomentum complex of Landau and Lifshitz, can be used to determine the various conserved quantities in the different postNewtonian approximations. Particular attention is given to the conserved energy which emerges as the integral over the whole of space of the difference between the (0,0)com ponent of the LandauLifshitz complex and the energy of the conserved mass present. The method is illustrated in the framework of the first postNewtonian equations of hydrodynamics
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1969
 DOI:
 10.1086/150170
 Bibcode:
 1969ApJ...158...45C