Non-minimal Einstein-Yang-Mills-dilaton theory

TL;DR

This paper introduces a novel non-minimal Einstein-Yang-Mills-dilaton model with a Lagrangian linear in curvature, featuring eight scalar-dependent functions, and provides exact solutions demonstrating its properties.

Contribution

It develops a new non-minimal coupling framework for Einstein-Yang-Mills-dilaton theory with explicit solutions for pp-wave symmetry.

Findings

Two exact regular solutions for the system with pp-wave symmetry

The model's Lagrangian is linear in curvature with eight scalar-dependent functions

Derivation of self-consistent equations for coupled gauge, scalar, and gravitational fields

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.