An Approach to One Killing-Vector Solutions of Einstein's Equations by Rotation-Coefficients

Details An Approach to One Killing-Vector Solutions of Einstein's Equations by Rotation-Coefficients An Approach to One Killing-Vector Solutions of Einstein's Equations by Rotation-Coefficients

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977pthph..57.1223h&link_type=abstract

Progress of Theoretical Physics, Vol. 57, No. 4, pp. 1223-1238

Physics

7

Scientific paper

One Killing-vector solutions of Einstein's equations are equivalent to a three-dimensional space with nonmetric fields. We approach this three-space by the use of Ricci rotation-coefficients and apply the method developed in this paper to show that this three-space admits a Killing-vector if certain rotation-coefficients vanish, and to make ome sstatements about the asymptotical behaviour of solutions of Ernst's equation.

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