Three-dimensional space-times.

Details Three-dimensional space-times. Three-dimensional space-times.

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19.1137h&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 11, pp.1137-1147

Computer Science

35

General Relativity:Space-Time

Scientific paper

A real version of the Newman-Penrose formalism is developed for (2+1)-dimensional space-times. The complete algebraic classification of the (Ricci) curvature is given. The field equations of Deser, Jackiw, and Templeton, expressing balance between the Einstein and Bach tensors, are reformulated in triad terms. Two exact solutions are obtained, one characterized by a null geodesic eigencongruence of the Ricci tensor, and a second for which all the polynomial curvature invariants are constant.

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