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arXiv · 1304.1874

Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models

Yu. V. Pavlov
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Abstract

The problem is solved of describing scale factors of a homogeneous isotropic spaces-time such that the exact solution for the scalar field with a nonconformal coupling to curvature can be obtained from solutions for the conformally coupled field by redefining the mass and momentum. Explicit expressions for dependence of time from the large-scale factor are presented in the form of Abelian integrals in these cases. The exact solution for a scalar field with Gauss-Bonnet type coupling with curvature is received and it is shown that the corresponding nonconformal additions can dominate at the particles creation by gravitational field.

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Yu. V. Pavlov. 2013-04-06. Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models. https://doi.org/10.1007/s11232-013-0036-y

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