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

Baake, Olaf; Rinne, Oliver

doi:10.1103/PhysRevD.94.124016

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

MPS-Authors

Baake, Olaf
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rinne, Oliver
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Baake, O., & Rinne, O. (2016). Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations. Physical Review D, 94: 124016. doi:10.1103/PhysRevD.94.124016.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-247F-8

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.