General relativity in two- and three-dimensional space-times

Details General relativity in two- and three-dimensional space-times General relativity in two- and three-dimensional space-times

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977amjph..45..833c&link_type=abstract

American Journal of Physics, Volume 45, Issue 9, pp. 833-837 (1977).

Physics

20

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Scientific paper

We consider the general relativity field equations in two- and three-dimensional space-times. We find that in a two-dimensional space-time we can have curvature but not matter. In a three-dimensional space-time we find that empty space must be flat, that a de Sitter solution exists, and that finite mass distributions with constant surface density must have zero ''surface tension.'' Finally, an expanding dust-filled universe turns out to be like Milne's model.

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