Abstract
All the stationary solutions of the three-dimensional vacuum Einstein equations are obtained. These include a class of multicenter solutions representing systems of massive and spinning point particles. The geodesic motion of a test particle in the one-particle metric is discussed. A class of geodesics contain finite intervals where the particle moves back in coordinate time, without violation of causality.
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Clément, G. Stationary solutions in three-dimensional general relativity. Int J Theor Phys 24, 267–275 (1985). https://doi.org/10.1007/BF00669791
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DOI: https://doi.org/10.1007/BF00669791