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math.AP2024★ 1 cited
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…
math.AP2024★ 3 cited
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]}…
math.AP2024★ 2 cited
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…