1304.1874 (Yu. V. Pavlov)

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

Yu. V. Pavlov

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.

View original: http://arxiv.org/abs/1304.1874