3 citations · 6 across the 5 of their papers we have counts for
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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…
Wave turbulence for a semilinear Klein-Gordon system
Anne-Sophie de Suzzoni, Annalaura Stingo, Arthur Touati
In this article we consider a system of two Klein-Gordon equations, set on the -dimensional box of size , coupled through quadratic semilinear terms of strength …
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…
The reverse Burnett conjecture for null dusts
Arthur Touati
Given a regular solution of the Einstein-null dusts system without restriction on the number of dusts, we construct families of solutions $(\mathbf{g}_λ)_{λ\in(0,1]}…
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…