Kerr--Schild metrics and gravitational radiation

Details Kerr--Schild metrics and gravitational radiation Kerr--Schild metrics and gravitational radiation

2004-12-03

arxiv.org/abs/gr-qc/0412016v2

Gen.Rel.Grav. 37 (2005) 1719-1729

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

AMSLaTeX, 12 pages, submitted to Gen. Rel. Grav., references added, changed content

Scientific paper

10.1007/s10714-005-0154-4

We describe conditions assuring that the Kerr--Schild type solutions of Einstein equations with pure radiation fields are asymptotically flat at future null infinity. Such metrics cannot describe ``true'' gravitational radiation from bounded sources--it is shown that the Bondi news function vanishes identically. We obtain formulae for the total energy and angular momentum at scri+. As an example we consider non-stationary generalization of the Kerr metric given by Vaidya and Patel. Angular momentum and total energy are expressed in closed form as functions of retarded time.

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