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

Abstract

We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically symmetric scalar field scattering off a Reissner-Nordström 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.

12 pages, 9 figures; 3 references added

References in corpus (3)

• Regularity of the Einstein Equations at Future Null Infinity
• Quasinormal modes of charged fields around a Reissner-Nordström black hole
• Gravitational collapse of charged scalar fields

Cited by in corpus (2)

• Numerical investigation of the dynamics of linear spin $s$ fields on a Kerr background II: Superradiant scattering
• Challenging the cosmic censorship in Einstein-Maxwell-scalar theory with numerically simulated gedankenexperiments