Non-minimal $\ln(R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions

Details Non-minimal $\ln(R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions Non-minimal $\ln(R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions

2011-02-18

arxiv.org/abs/1102.3863v1

Eur.Phys.J.C71:1589,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 5 figures, accepted for publication in EPJC

Scientific paper

10.1140/epjc/s10052-011-1589-2

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field equations by a first order variational principle using the method of Lagrange multipliers. We look at static, spherically symmetric solutions that are asymptotically flat. We discuss the nature of horizons for some candidate black hole solutions according to various values of the parameters $R_0 $ and $a_1$.

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