1998/01/01 by Shahar Hod, Tsvi Piran · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Charged black hole #Charged particle #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Gravitation #Gravitational collapse #Ion #Massless particle #Mathematical physics #Physics #Power law #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Schwarzschild radius #gr-qc
paper · pdf · doi:10.1103/physrevd.58.024018
published as Phys.Rev. D58 (1998) 024018 · Latex 15 pages, Revtex.sty
arxiv created 1998/01/01 · openalex publication_date 1998/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study analytically the initial value problem for a charged massless scalar field on Reissner-Nordstr"om space-time. Using the spectral decomposition technique we generalize the results of paper I for arbitrary charges. We show that the charged perturbations decay according to an inverse power-law behavior at future timelike infinity and along future null infinity. Along the future outer horizon we find an oscillatory inverse power-law relaxation of the charged fields. The charged dumping exponents decrease with the charge. The late-time charged tails are determined by multiple scattering of the field, a phenomena not found for neutral fields and in the weak electromagnetic interaction limit.