Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
General Relativity and Quantum Cosmology
2011-03-21 v1 High Energy Physics - Theory
Abstract
We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order variational principle using the method of Lagrange multipliers. We look for solutions describing plane-fronted Einstein-Maxwell waves with parallel rays. We give a family of exact solutions associated with a partially massless spin-2 photon and a partially massive spin-2 graviton.
Cite
@article{arxiv.1101.1177,
title = {Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions},
author = {T. Dereli and O. Sert},
journal= {arXiv preprint arXiv:1101.1177},
year = {2011}
}