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Non-minimal ln(R)F² Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions

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arxiv 1102.3863 v1 pith:U62L4O5R submitted 2011-02-18 gr-qc

Non-minimal ln(R)F² Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions

Tekin Dereli , \"Ozcan Sert This is my paper
classification gr-qc
keywords solutionscouplingselectromagneticfieldsgravitynon-minimalsphericallystatic
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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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