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.
Non-minimal $\ln(R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
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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 $a_1$.
fields
gr-qc 1years
2019 1verdicts
REJECT 1representative citing papers
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Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole
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.