We derive the precise late-time asymptotics for solutions to the wave equation on extremal
Reissner–Nordström black holes and explicitly express the leading-order coefficients in …

A bstract Black holes display universal behavior near extremality. One such feature is the
late-time blowup of derivatives of linearized perturbations across the horizon. For generic …

Abstract The extreme Reissner–Nordström (ERN) solution has a discrete conformal isometry
that maps the future event horizon to future null infinity and vice versa, the Couch–Torrence …

A bstract Four-dimensional\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory, at a point
on the Coulomb branch where SU (N) gauge symmetry is spontaneously broken to SU (N …

We study late-time behaviors of massive scalar fields in general static and spherically
symmetric extremal black hole spacetimes in arbitrary dimensions. We show the existence of …

We discuss dynamics of massive Klein-Gordon fields in two-dimensional anti-de Sitter
spacetimes (AdS 2), in particular conserved quantities and nonmodal instability on the future …

We reexamine the relation between the Aretakis charge of an extremal black hole spacetime
and the Newman-Penrose charge of a weakly asymptotically flat spacetime obtained from …

A bstract We study real-time propagation of a massive scalar field on the extremal BTZ black
hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple …

We study the evolution of axially symmetric scalar field perturbations on an extreme Kerr
spacetime for initial data with multipole moments ℓ′ higher than the least radiative mode …

As an important and challenging problem, the study of black hole stability has attracted
considerable interest over the last 60 years. With many stability results appearing over the …