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arxiv: 1610.08352 · v2 · pith:56ERLY77new · submitted 2016-10-26 · 🌀 gr-qc

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

Olaf Baake , Oliver Rinne This is my paper
classification 🌀 gr-qc
keywords fieldequationsscalarblackholemasssuperradianceasymptotically
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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.

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