Three-dimensional space-times |
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| Authors: | G S Hall T Morgan Z Perjés |
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| Institution: | (1) Department of Mathematics, University of Aberdeen, AB9 2TY Aberdeen, Great Britain;(2) Department of Physics, University of Nebraska, 68588-0111 Lincoln, Nebraska, USA;(3) Central Research Institute for Physics, P.O.B. 49, H-1525 Budapest 114, Hungary |
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| Abstract: | 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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