40 citations · 119 across the 10 of their papers we have counts for
10 papers
Stability of the expanding region of Kerr de Sitter spacetimes
Grigorios Fournodavlos, Volker Schlue
We prove the nonlinear stability of the cosmological region of Kerr de Sitter spacetimes. More precisely, we show that solutions to the Einstein vacuum equations with positive cosm…
Scattering for wave equations with sources close to the lightcone and prescribed radiation fields
Hans Lindblad, Volker Schlue
We construct solutions with prescribed radiation fields for wave equations with polynomially decaying sources close to the lightcone. In this setting, which is motivated by semi-li…
Optical functions in de Sitter
Volker Schlue
This paper addresses pure gauge questions in the study of (asymptotically) de Sitter spacetimes. We construct global solutions to the eikonal equation on de Sitter, whose level set…
Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition
Hans Lindblad, Volker Schlue
We show global existence backwards from scattering data at infinity for semilinear wave equations satisfying the null condition or the weak null condition. Semilinear terms satisfy…
On "hard stars" in general relativity
Grigorios Fournodavlos, Volker Schlue
We study spherically symmetric solutions to the Einstein-Euler equations which model an idealized relativistic neutron star surrounded by vacuum. These are barotropic fluids with a…
Decay of the Weyl curvature in expanding black hole cosmologies
Volker Schlue
This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological…
Non-existence of time-periodic vacuum spacetimes
Spyros Alexakis, Volker Schlue
We prove that smooth asymptotically flat solutions to the Einstein vacuum equations which are assumed to be periodic in time, are in fact stationary in a neighborhood of infinity.…
Unique continuation from infinity for linear waves
Spyros Alexakis, Volker Schlue, Arick Shao
We prove various uniqueness results from null infinity, for linear waves on asymptotically flat space-times. Assuming vanishing of the solution to infinite order on suitable parts…
Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies
Volker Schlue
In this global study of solutions to the linear wave equation on Schwarzschild de Sitter spacetimes we attend to the cosmological region of spacetime which is bounded in the past b…
Decay of linear waves on higher dimensional Schwarzschild black holes
Volker Schlue
In this paper we consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spacetimes and prove robust nondegenerate energy decay estimates that…