Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions

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.

References in corpus (6)

• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• On massive spin 2 electromagnetic interactions
• Partially Massless Spin 2 Electrodynamics
• Optical activity induced by curvature in a gravitational pp-wave background
• Singular Behaviour of electric and magnetic fields in dielectric media in a non-linear gravitational wave background
• On the Energy-Momentum Density of Gravitational Plane Waves

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