International Journal of Theoretical Physics

, Volume 9, Issue 2, pp 117–127

Geometry of the de-Sitter universe

  • Eric A. Lord
Article

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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References

  1. Adler, R., Bazin, M. and Schiffer, M. (1965).Introduction to General Relativity. McGraw-Hill.Google Scholar
  2. Bondi, H. (1960).Cosmology, 2nd Ed. Cambridge University Press.Google Scholar
  3. Fock, V. (1964).The Theory of Space, Time and Gravitation. Pergamon.Google Scholar
  4. Hoyle, F. and Narlikar, J. V. (1963).Proceedings of the Royal Society,A273, 1.Google Scholar

Copyright information

© Plenum Publishing Company Limited 1974

Authors and Affiliations

  • Eric A. Lord
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangalore-12India

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