AG 2 II algebraically general twistfree vacuum spacetime

Details AG 2 II algebraically general twistfree vacuum spacetime AG 2 II algebraically general twistfree vacuum spacetime

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25.1009p&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 10, pp.1009-1018

Physics

Scientific paper

Several authors, e.g., Kerr and Debney (1970), Lun (1978), have obtained severalG 2 II algebraically special vacuum solutions. NoG 2 II algebraically general vacuum solutions in explicit form have been found before. In this paper, we start from a system of first order partial differential equations, obtained by using a triad formalism, which determines twistfree vacuum metrics with a spacelike Killing vector. The method of group-invariant solutions is then used and aG 2 II algebraically general twistfree vacuum solution is obtained. The solution also admits a homothetic Killing vector and is non-geodesic. It is believed to be new. The following explicit solutions are also obtained: (1) A Petrov type II with aG 1-group of motions solution which belongs to Kundt's class. (2) A Petrov type III,G 3 Robinson-Trautman solution. All these solutions are known.

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