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Non-minimal $\ln(R)F^2$ 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

Tekin Dereli , Özcan Sert This is my paper · ORCID
classification gr-qc
keywords solutionscouplingselectromagneticfieldsgravitynon-minimalsphericallystatic
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole

    gr-qc 2019-08 reject novelty 5.0 of 10

    If vacuum polarization non-minimally couples magnetic fields to gravity, charged particle trajectories around Schwarzschild black holes can shift from unbound to bound, especially near the horizon.

  2. Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation

    gr-qc 2026-07 reject novelty 4.0 of 10

    The paper asserts analytic strong-lensing deflection and time-delay formulas for Kerr black holes with Weyl-modified photon propagation, but the derivation is incomplete and internally inconsistent.

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