Reduction of Einstein's field equations for twisting typeN-vacuum fields with anH 2

Details Reduction of Einstein's field equations for twisting typeN-vacuum fields with anH 2 Reduction of Einstein's field equations for twisting typeN-vacuum fields with anH 2

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23..477h&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 4, pp.477-486

Physics

8

Scientific paper

The problem of vacuum typeN solutions of Einstein's field equations with Killing vector and homothetic group can be reduced to a single ordinary differential equation of the third order for a single real function. Hauser's solution [4] is an exceptional case. If the homothetic parameterN takes the valueN=2 the third order differential equation becomes surprisingly simple. This caseN=2 is therefore the most promising one for the search of exact solutions.

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