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-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
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abstract
We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order variational principle using the method of Lagrange multipliers. We look for solutions describing plane-fronted Einstein-Maxwell waves with parallel rays. We give a family of exact solutions associated with a partially massless spin-2 photon and a partially massive spin-2 graviton.
fields
gr-qc 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
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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.