International Journal of Theoretical Physics

, Volume 9, Issue 2, pp 117–127

Geometry of the de-Sitter universe


  • Eric A. Lord
    • Department of Applied MathematicsIndian Institute of Science

DOI: 10.1007/BF01807693

Cite this article as:
Lord, E.A. Int J Theor Phys (1974) 9: 117. doi:10.1007/BF01807693


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.

Copyright information

© Plenum Publishing Company Limited 1974