Mathematics – Logic
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jetp...71..636b&link_type=abstract
Sov. Phys. - JETP, Vol. 71, No. 4, p. 636 - 642
Mathematics
Logic
5
Early Universe: Cosmological Models
Scientific paper
The authors investigate the cosmology of the early universe with a polarized vacuum of conformal and nonconformal fields. Allowance for the latter yields some novel possibilities for the evolution of the background metric; specifically, it predicts several quasi- de Sitter stages. The authors use the instanton approach to estimate the probability of the Universe being created in each of these. If the Universe is created in a de Sitter regime with curvature close to the Planck value, then subsequent quasiexponential inflation is feasible if the mass of the nonconformal scalar fields satisfies m ⪆ 10-5MPl. The quasi- de Sitter evolutionary regime (Rik ≍ gikR/4) enables one to describe all known models with vacuum polarization using an effective Lagrangian L(R) = -R+f(R). For this theory, the authors have quantized scalar perturbations and analyzed their growth during the subsequent evolution of the Universe, taking advantage of the mathematical equivalence between classical cosmology and a scalar field φ with the potential V(φ), which is uniquely defined by the form of f(R). The results can be used both for the R2 cosmology of the Starobinskij model and for a theory with nonconformal fields.
Baibosunov M. B.
Gurovich Victor Ts.
Imanaliev U. M.
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