5 papers
Teukolsky on slowly-rotating Kerr-de Sitter in the vanishing limit
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
As a first step towards resolving a vanishing cosmological constant black hole stability conjecture, we prove energy, Morawetz and rp-weighted estimates for solutions to the Teukol…
Energy-Morawetz estimates for Teukolsky equations in perturbations of Kerr
Siyuan Ma, Jérémie Szeftel
In this paper, we prove energy and Morawetz estimates for solutions to Teukolsky equations in spacetimes with metrics that are perturbations, compatible with nonlinear applications…
Energy-Morawetz estimates for the wave equation in perturbations of Kerr
Siyuan Ma, Jérémie Szeftel
In this paper, we prove energy and Morawetz estimates for solutions to the scalar wave equation in spacetimes with metrics that are perturbations, compatible with nonlinear applica…
Spacelike initial data for black hole stability
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black ho…
Initial data for Minkowski stability with arbitrary decay
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
We construct and parametrize solutions to the constraint equations of general relativity in a neighborhood of Minkowski spacetime with arbitrary prescribed decay properties at infi…