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General Relativity and Quantum Cosmology, gr-qc
Abstract:
We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically
symmetric scalar field scattering off a Reissner-Nordstr\"om black hole in
asymptotically flat spacetime. The equations are solved numerically using a
hyperboloidal evolution scheme. For suitable frequencies of the initial data,
superradiance is observed, leading to a substantial decrease of mass and charge
of the black hole. We also derive a Bondi mass loss formula using the Kodama
vector field and investigate the late-time decay of the scalar field.