Late-time tails in extremal Reissner-Nordstrom spacetime

Abstract

This note discusses the late-time decay of perturbations outside extremal Reissner-Nordstrom black hole. We consider individual spherical-harmonic modes $l$ of massless scalar field. The initial data are assumed to be of compact support, with generic regular behavior across the horizon. The scalar perturbations are found to decay at late time as $t^{-(2l+2)}$. We also provide the spatial dependence of the late-time tails, including the exact overall pre-factor.

4 pages

References in corpus (1)

• On the horizon instability of an extreme Reissner-Nordström black hole

Cited by in corpus (5)

• Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
• Linear waves in the interior of extremal black holes I
• Quasinormal modes in extremal Reissner-Nordström spacetimes
• Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere
• Asymptotic blow-up for a class of semilinear wave equations on extremal Reissner-Nordström spacetimes