Relaxation of the Cosmological Principle and the Friedman Robertson-Walker Cosmology

  • Michael Tsamparlis
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 276)


The Cosmological Principle defines the Friedmann — Robertson — Walker (FRW) cosmological model in two steps. The first step concerns the definition of the FRW metric and the second the symmetry properties of the physical fields. The definition of the metric is achieved by means of symmetry assumptions basedon KVs, which are very strong and restrictive symmetries. We prove that one can define the FRW metric element using conformal Killing vectors, thus relaxing the demands of the Cosmological Principle on the symmetries of the mater fields. In addition we show how this approach leads to the consideration of a new set of conserved currents in the FRW spacetime.y


Cosmological principle conformal Killing vector Robertson-Walker 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Weinberg S. (1972), Gravitation and Cosmology NY: John Wiley & Sons.Google Scholar
  2. [2]
    Hawking S.W., Ellis G.F.R. (1974), The Large Scale Structure of Space-Time. Cambridge: Cambridge University Press.Google Scholar
  3. [3]
    Petrov A.Z. (1969), Einstein Spaces. Pergamon: Oxford University Press.zbMATHGoogle Scholar
  4. [4]
    Tsamparlis M. (1998), “Conformal reduction ofa spacetime metric” Class Quantum Grav., 15, 2901–2908.MathSciNetADSzbMATHCrossRefGoogle Scholar
  5. [5]
    Trautman A., Pirani F.A.E., Bondi H. (1965), Lectures on General Relativity, London: Prentice Hall INC.zbMATHGoogle Scholar
  6. [6]
    Tsamparlis M., Nikolopoulos D., Apostolopoulos P. (1998), “Computation of the conformal algebra of 1+3 decomposable spacetimes”, Class Quantum Grav., 15, 2909–2921.MathSciNetADSzbMATHCrossRefGoogle Scholar
  7. [7]
    Apostolopoulos P, Tsamparlis M. “Ricci Inheritance Collineations of the Robertson Walker spacetime”, in preparation.Google Scholar
  8. [8]
    Coley A.A., Tupper B.O.J. (1983), “A new look at FRW Cosmologies”. Gen. Rel. Grav., 15, 977–983.MathSciNetADSCrossRefGoogle Scholar
  9. [9]
    Coley A.A., Tupper B.O.J. (1985), “Observations and nonstandard FRW models”, Ap.J., 318, 487–506.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Michael Tsamparlis
    • 1
  1. 1.Department of Physics, Section of Astrophysics — Astronomy — MechanicsUniversity of Athens, PanepistemiopolisAthensGreece

Personalised recommendations