Electromagnetism and hidden vector fields in modified gravity theories: spontaneous and induced vectorization.
In General Relativity, Maxwell's equations are embedded in curved spacetime through the minimal prescription, but this could change if strong-gravity modifications are present. We show that with a non-minimal coupling between gravity and a massless vector field, non-perturbative effects can arise in compact stars. We find solutions describing stars with non-trivial vector field configurations, some of which are associated to an instability, while others are not. The vector field can be interpreted either as the electromagnetic field, or as a hidden vector field weakly coupled with the standard model.
Publisher URL: http://arxiv.org/abs/1901.02461
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