Evolution of small perturbations of isotropic cosmological models with one-loop quantum gravitational corrections

Physics

Scientific paper

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Astronomical Models, Cosmology, Gravitational Effects, Perturbation, Approximation, Isotropy, Mass Distribution, Matter (Physics), Quantum Theory, Self Consistent Fields, Space-Time Functions

Scientific paper

The paper derives equations for small perturbations of homogeneous isotropic cosmological models, which take into account the quantum gravitational effects in the one-loop approximation. The effects produced as a result of interaction of the quantum fields of matter with the self-consistent gravitational field can be taken into account by adding the average energy-momentum tensor of all the quantum fields to the right side of the Einstein equations, and by including the effect of fluctuations of the gravitational field. The equations should be interpreted as equations for the average values of the space-time metric, and should apply if the quantum fluctuations of the metric are small compared with average values.

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