Geometry of the de-Sitter universe |
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Authors: | Eric A Lord |
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Institution: | (1) Department of Applied Mathematics, Indian Institute of Science, Bangalore-12, India |
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Abstract: | By making use of the fact that the de-Sitter metric corresponds to a hyperquadric in a five-dimensional flat space, it is shown that the three Robertson-Walker metrics for empty spacetime and positive cosmological constant, corresponding to 3-space of positive, negative and zero curvative, are geometrically equivalent. The 3-spaces correspond to intersections of the hyperquadric by hyperplanes, and the time-like geodesics perpendicular to them correspond to intersections by planes, in all three cases. |
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