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Dynamical evolution of a vector field perturbation coupled to the Einstein tensor

Dynamical evolution of a vector field perturbation coupled to the Einstein tensor

We have investigated the wave dynamics of a vector field perturbation coupling to the Einstein tensor in the four-dimensional Reissner-Nordstr\"om black hole spacetime. Our results show that besides the dependence on the coupling between the vector field and Einstein tensor, the wave dynamic equation of the vector field perturbation strongly …