This article is cited in 4 papers

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

Yu. V. Pavlov<sup>ab

a</sup> Institute for Problems in Mechanical Engineering, RAS, St. Petersburg, Russia
^b A. A. Friedmann Laboratory for Theoretical Physics, St. Petersburg, Russia

Abstract: We solve the problem of describing scaling factors of a homogeneous isotropic space–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. We give explicit expressions in the form of Abelian integrals for the dependence of time on the scaling factor in these cases. We obtain an exact solution for the scalar field coupled to the Gauss–Bonnet-type curvature and show that the corresponding nonconformal contributions can dominate in particle creation by the gravitational field.

Keywords: quantum theory in curved space–time, particle creation by gravitational field, scalar field, exact solution.

PACS: 04.62.+v

MSC: 81T20

Received: 21.06.2012
Revised: 03.10.2012

DOI: 10.4213/tmf8393

 English version: Theoretical and Mathematical Physics, 2013, 174:3, 438–445

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