Late-time decay of coupled electromagnetic and gravitational perturbations outside an extremal charged black hole

Understand

In this paper we employ the results of a previous paper on the late-time decay of scalar-field perturbations of an extreme Reissner-Nordstrom black hole, in order to find the late-time decay of coupled electromagnetic and gravitational perturbations of this black hole.

• We explicitly write the late-time tails of Moncrief's gauge invariant variables and of the perturbations of the metric tensor and the electromagnetic field tensor in the Regge-Wheeler gauge.
• We discuss some of the consequences of the results and relations to previous works.