Some exact solutions of the Einstein field equations in terms of the self-dual spin connection.

Details Some exact solutions of the Einstein field equations in terms of the self-dual spin connection. Some exact solutions of the Einstein field equations in terms of the self-dual spin connection.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34..130c&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 1, p. 130 - 138

Mathematics

Mathematical Physics

1

Scientific paper

The self-dual spin connection is used as primary field variable in the determination of space-time geometries which satisfy the Einstein field equations. The authors find that the simplest nontrivial Ansatz on the self-dual spin connection produces a space-time of the Kasner-type. In the case of gravitational instantons, an analogous form of the self-dual spin connection is shown to determine conformally flat space-times.

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