Lord, Eric A (1974) Geometry of the de-Sitter universe. In: International Journal of Theoretical Physics, 9 (2). pp. 117-127.
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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.
Item Type: | Journal Article |
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Publication: | International Journal of Theoretical Physics |
Publisher: | Springer |
Additional Information: | Copyright of this article belongs to Springer. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 22 Jan 2010 04:31 |
Last Modified: | 19 Sep 2010 05:49 |
URI: | http://eprints.iisc.ac.in/id/eprint/24307 |
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