3 papers
gr-qc2026
Solutions of the constraints with controlled decay to Kerr, including Schwartz decay
Andrea Nützi
We show that to every small and decaying solution of the linearized constraint equations about Minkowski spacetime, one can add a quadratically small correction to obtain a solutio…
gr-qc2025
Perturbations of Minkowski spacetime with regular conformal compactification
Andrea Nützi
We construct perturbations of Minkowski spacetime in general relativity, when given initial data that decays inverse polynomially to initial data of a Kerr spacetime towards spacel…
math.DG2024
A support preserving homotopy for the de Rham complex with boundary decay estimates
Andrea Nützi
We study the de Rham complex of relative differential forms on compact manifolds with boundary. Chain homotopies for this complex are highly non-unique, and different homotopies ca…