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Published April 1, 1984 | metadata_only
Journal Article

Three-dimensional cosmological gravity: Dynamics of constant curvature


In three space-time dimensions, Einstein's equations with cosmological constant Λ imply that the curvature is constant outside sources. When particles are present, they alter the global properties of the exterior geometry. In the De Sitter case, space is a two-sphere and static many-body solutions are quite different from their Λ = 0 counterparts; in particular particles lie at antipodal points, with the great-circle wedge between them excised. These configurations are analyzed in terms of the general static solution to the exterior field equations.

Additional Information

© 1984 Published by Elsevier. Received October 4, 1983. This research is supported in part by the National Science Foundation under grant PHY-82-01094 and by the U.S. Department of Energy (DOE) under contract DE-AC02-76ER03069.

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August 19, 2023
August 19, 2023