Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models
arXiv:1304.1874 · doi:10.1007/s11232-013-0036-y
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.
11 pages, 1 figure