The late-time tails in the Reissner-Nordström spacetime revisited

Abstract

We propose that the late-time tail problem in the Reissner-Nordström (RN) spacetime is dual to a tail problem in the Schwarzschild spacetime with a different initial data set: at a fixed observation point the asymptotic decay rate of the fields are equal. This duality is used to find the decay rate for tails in RN. This decay rate is exactly as in Schwarzschild, including the case of the extremely-charged RN spacetime (ERN). The only case where any deviation from the Schwarzschild decay rate is found is the case of the tails along the event horizon of an ERN spacetime, where the decay rate is the same as at future null infinity. As observed at a fixed location, the decay rate in ERN is the same as in Schwarzschild. We verify these expectations with numerical simulations.

11 pages, 13 figues, 1 table. Submitted to Phys. Rev. D

References in corpus (4)

• A proof of Price's law for the collapse of a self-gravitating scalar field
• Radiative falloff in the background of rotating black hole
• Radiative falloff of a scalar field in a weakly curved spacetime without symmetries
• Radiation tails and boundary conditions for black hole evolutions

Cited by in corpus (12)

• On the horizon instability of an extreme Reissner-Nordström black hole
• A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
• Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
• Horizon hair of extremal black holes and measurements at null infinity
• Late-time Kerr tails revisited
• Late-time decay of perturbations outside extremal charged black hole
• Late-time tails in extremal Reissner-Nordstrom spacetime
• On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis
• Late-time decay of coupled electromagnetic and gravitational perturbations outside an extremal charged black hole
• Horizon Hair from Inversion Symmetry
• The Aretakis constants and instability in general spherically symmetric extremal black hole spacetimes: higher multipole modes, late-time tails, and geometrical meanings
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes