35 citations · 39 across the 6 of their papers we have counts for
9 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 dyn…
Discretely self-similar exterior-naked singularities for the Einstein-scalar field system
Serban Cicortas, Christoph Kehle
The problem of constructing naked singularities in general relativity can be naturally divided into two parts: (i) the construction of the region exterior to the past light cone of…
On the prescribed negative Gauss curvature problem for graphs
Alessio Figalli, Christoph Kehle
We revisit the problem of prescribing negative Gauss curvature for graphs embedded in when . The problem reduces to solving a fully nonlinear Monge-Ampèr…
Uniqueness of solutions to nonlinear Schrödinger equations from their zeros
Christoph Kehle, João P. G. Ramos
We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonlinear case or in the presence of a complex-valued potential. As our main result w…
Blowup of the local energy of linear waves at the Reissner-Nordström-AdS Cauchy horizon
Christoph Kehle
We show that generic linear perturbations solving on Reissner-Nordström-AdS black holes have infinite local energy at the Cauchy horizon. Combined w…
Diophantine approximation as Cosmic Censor for Kerr-AdS black holes
Christoph Kehle
The purpose of this paper is to show an unexpected connection between Diophantine approximation and the behavior of waves on black hole interiors with negative cosmological constan…
Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner-Nordström-AdS black holes
Christoph Kehle
Motivated by the Strong Cosmic Censorship Conjecture for asymptotically AdS spacetimes, we initiate the study of massive scalar waves satisfying on the interior of…
A scattering theory for linear waves on the interior of Reissner-Nordström black holes
Christoph Kehle, Yakov Shlapentokh-Rothman
We develop a scattering theory for the linear wave equation on the interior of Reissner-Nordström black holes, connecting the fixed frequency picture to the physical…
The maximal excess charge for a family of density-matrix-functional theories including Hartree-Fock and Müller theories
Christoph Kehle
We will give a proof that the maximal excess charge for an atom described by a family of density-matrix-functionals, which includes Hartree-Fock and Müller theories, is bounded by…