General relativity in two- and three-dimensional space–times
1977; American Institute of Physics; Volume: 45; Issue: 9 Linguagem: Inglês
10.1119/1.11057
ISSN1943-2909
Autores Tópico(s)Relativity and Gravitational Theory
ResumoWe 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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