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arXiv · 1101.1177

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

T. Dereli·O. Sert
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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.

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T. Dereli, O. Sert. 2011-01-06. Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions. https://doi.org/10.1103/physrevd.83.065005

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