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.
Topics
General relativity
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© 1977 American Association of Physics Teachers.
1977
American Association of Physics Teachers
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