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.

arXiv comment12 pages, 9 figures; 3 references added

References in corpus (17)

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Cited by in corpus (15)

• Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
• Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
• Superradiant Instabilities in a Class of Scalar-Tensor Horndeski Theory
• Superradiance of a Global Monopole in Reissner-Nordström(-AdS) Space-time
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• Extraction of energy from a black hole in Einstein-Maxwell-scalar theory
• Numerical investigation of the dynamics of linear spin $s$ fields on a Kerr background II: Superradiant scattering
• A Positive-Definite Energy Functional for the Axisymmetric Perturbations of Kerr-Newman Black Holes
• Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry
• Minimal Surfaces and Generalized Einstein-Maxwell-dilaton Theory
• Sufficient conditions for unbounded superradiance in black hole spacetimes sourced by nonlinear electrodynamics
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• Hairless Black Hole by Superradiance
• Challenging the cosmic censorship in Einstein-Maxwell-scalar theory with numerically simulated gedankenexperiments