Kerr--Schild metrics and gravitational radiation
General Relativity and Quantum Cosmology
2009-11-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0412016,
title = {Kerr--Schild metrics and gravitational radiation},
author = {Włodzimierz Natorf},
journal= {arXiv preprint arXiv:gr-qc/0412016},
year = {2009}
}
Comments
AMSLaTeX, 12 pages, submitted to Gen. Rel. Grav., references added, changed content