On integrating Einstein's equations using the Bondi metric.

Details On integrating Einstein's equations using the Bondi metric. On integrating Einstein's equations using the Bondi metric.

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..121h&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 2, pp.121-133

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2

General Relativity

Scientific paper

It is demonstrated that a closed form, time-dependent, expression for the axisymmetric Bondi metric may be obtained through a straightforward integration of Einstein's equations. The solution is shown to be a special case of Petrov Type I solutions having shearing geodesic rays (Newman-Tamburino). The evolution equation is expanded in powers of 1/r and it is found that the expansions can be useful in identifying other potential solutions.

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