81 citations · 432 across the 18 of their papers we have counts for
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gr-qc2015★ 55 cited
Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes
Mihalis Dafermos, Yakov Shlapentokh-Rothman
In this paper, we provide an elementary, unified treatment of two distinct blue-shift instabilities for the scalar wave equation on a fixed Kerr black hole background: the celebrat…
gr-qc2015
Stationary axisymmetric black holes with matter
Otis Chodosh, Yakov Shlapentokh-Rothman
We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein…
gr-qc2015
Time-Periodic Einstein--Klein--Gordon Bifurcations of Kerr
Otis Chodosh, Yakov Shlapentokh-Rothman
We construct one-parameter families of solutions to the Einstein--Klein--Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each a…