70 citations · 514 across the 53 of their papers we have counts for
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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…
Area-minimizing surfaces in asymptotically flat three-manifolds
Otis Chodosh, Michael Eichmair
We show that an asymptotically flat Riemannian three-manifold with non-negative scalar curvature is isometric to flat if it admits an unbounded area-minimizing surfa…
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…
Minimal hypersurfaces with bounded index
Otis Chodosh, Daniel Ketover, Davi Maximo
We prove a structural theorem that provides a precise local picture of how a sequence of closed embedded minimal hypersurfaces with uniformly bounded index (and volume if the ambie…
Isoperimetric structure of asymptotically conical manifolds
Otis Chodosh, Michael Eichmair, Alexander Volkmann
We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal…
Effective versions of the positive mass theorem
Alessandro Carlotto, Otis Chodosh, Michael Eichmair
The study of stable minimal surfaces in Riemannian -manifolds with non-negative scalar curvature has a rich history. In this paper, we prove rigidity of such surfaces w…