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

M.L. Fil'chenkov1, R.Kh. Saibatalov2, Yu.P. Laptev3, V.V. Plotnikov4

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.

References

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