The gravitational field in the wave zone. II. Consequences of asymptotic structure.

Details The gravitational field in the wave zone. II. Consequences of asymptotic structure. The gravitational field in the wave zone. II. Consequences of asymptotic structure.

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..871p&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 9, pp.871-886

Physics

2

General Relativity:Gravitational Radiation, Gravitational Radiation:General Relativity

Scientific paper

We consider an asymptotically flat and empty space-time generated by a bounded source of perfect fluid. The vanishing of the conformal Weyl tensor on I + and of the Ricci tensor near I + are used to simplify the expression obtained in the previous paper for the coefficient ofr - of the metric tensor after an expansion in powers ofc -1. The result is a very simple expression for the dominant term ofg αβ,0 in the radiation zone in terms of the quadrupole moment of the source. Using this expression and an invariant definition of the total energy, we calculate in the framework of full general relativity the radiated energy per unit time and prove that the first term is identical with the quadrupole radiation as given by the linearized version of general relativity.

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