Non-minimal $R^βF^2$-Coupled Electromagnetic Fields to Gravity and Static, Spherically Symmetric Solutions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages

Scientific paper

10.1142/S0217732311036085

We investigate non-minimal $R^\beta F^2$-type couplings of electromagnetic
fields to gravity. We derive the field equations by a first order variational
principle using the method of Lagrange multipliers. Then we present various
static, spherically symmetric solutions describing the exterior fields in the
vicinity of electrically charged massive bodies.

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