Quantum effects in the early Universe. IV. Nonlocal effects in particle production in anisotropic models

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Abstract
The dynamical equation governing the evolution of the effective geometry in the presence of the production of conformally invariant scalar particles is solved for a homogeneous model cosmology with small anisotropy and classical radiation. The pair-production probabilities and spectrum are calculated in the one-loop approximation to lowest nonvanishing order in the deviation from exact isotropy.