4 papers
The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordström family, in the infinite-dimensional moduli space of dy…
Matching conditions for scattering solutions of scalar wave equations on extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Istvan Kadar
We study scattering solutions of the linear wave equation on extremal Reissner-Nordström spacetimes, satisfying the following properties: i) attains a prescribed radiati…
Nonlinear stability of extremal Reissner-Nordström black holes in spherical symmetry
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordström family of black holes in the spherically symmetric Einstein-Maxwell-n…
Semilinear wave equations on extremal Reissner-Nordström black holes revisited
Yannis Angelopoulos, Ryan Unger
We revisit global existence and decay for small-data solutions of semilinear wave equations on extremal Reissner-Nordström black hole backgrounds satisfying the classical null con…