Non-minimal Einstein-Yang-Mills-dilaton theory

Abstract

We establish a new non-minimal Einstein-Yang-Mills-dilaton model, for which the Lagrangian is linear in the curvature and contains eight arbitrary functions of the scalar (dilaton) field. The self-consistent system of equations for the non-minimally coupled gauge, scalar and gravitational fields is derived. As an example of an application we discuss the model with pp-wave symmetry. Two exact explicit regular solutions of the whole system of master equations, belonging to the class of pp-wave solutions, are presented.

10 pages, no figures. Contribution to "Problems of Modern Cosmology", special volume on the occasion of 50th birthday of Prof. S.D. Odintsov

References in corpus (3)

• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity