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Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations

Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations

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 …