48 citations · 318 across the 24 of their papers we have counts for
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A model problem for quasinormal ringdown on asymptotically flat or extremal black holes
Dejan Gajic, Claude Warnick
We consider a wave equation with a potential on the half-line as a model problem for wave propagation close to an extremal horizon, or the asymptotically flat end of a black hole s…
Quasinormal modes in extremal Reissner-Nordström spacetimes
Dejan Gajic, Claude Warnick
We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extrema…
A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at…
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global ex…