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Gravitation and Cosmology

, Volume 15, Issue 2, pp 148–150 | Cite as

Anisotropic cosmological models in terms of Raychaudhuri and Wheeler-DeWitt equations

  • M. L. Fil’chenkovEmail author
  • R. Kh. Saibatalov
  • Yu. P. Laptev
  • V. V. Plotnikov
Article
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Abstract

Classical anisotropic cosmological models are described in terms of the Raychaudhuri equation for a perfect fluid. Quantum ones are considered using the Wheeler-DeWitt equation. The Universe birth probability has been calculated for a flat model with dust and de Sitter vacuum.

PACS numbers

98.80.Jk 98.80.Qc 

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References

  1. 1.
    S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge (UK), 1973).zbMATHCrossRefGoogle Scholar
  2. 2.
    A. Vilenkin, Phys. Rev. D 50, 2581 (1994).CrossRefMathSciNetADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • M. L. Fil’chenkov
    • 1
    • 2
    Email author
  • R. Kh. Saibatalov
    • 2
  • Yu. P. Laptev
    • 1
    • 3
  • V. V. Plotnikov
    • 1
  1. 1.Institute of Gravitation and CosmologyPeoples’ Friendship University of RussiaMoscowRussia
  2. 2.Friedmann Laboratory for Theoretical PhysicsSt. PetersburgRussia
  3. 3.Department of PhysicsBauman Moscow State Technical UniversityMoscowRussia

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