4 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…
On the uniqueness of Kerr-de Sitter spacetimes
Allen Juntao Fang
In this paper, we prove a series of results concerning the uniqueness of Kerr-de Sitter as a family of smooth stationary black hole solutions to the nonlinear Einstein vacuum equat…
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…