Geometry of the de-Sitter universe

Lord, Eric A (1974) Geometry of the de-Sitter universe. In: International Journal of Theoretical Physics, 9 (2). pp. 117-127.

PDF fulltext.pdf - Published Version Restricted to Registered users only Download (484kB) | Request a copy

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
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

Actions (login required)

View Item