Late-time tails in extremal Reissner-Nordstrom spacetime

Understand

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 $t^{-(2l+2)}$.