33 citations · 56 across the 10 of their papers we have counts for
10 papers
An extension of the method for wave equations with scale-critical potentials and first-order terms
Maxime Van de Moortel
The method, first introduced in [DR10], has become a robust strategy to prove decay for wave equations in the context of black holes and beyond. In this note, we propose an e…
Late-time tails for scale-invariant wave equations with a potential and the near-horizon geometry of null infinity
Dejan Gajic, Maxime Van de Moortel
We provide a definitive treatment, including sharp decay and the precise late-time asymptotic profile, for generic solutions of linear wave equations with a (singular) inverse-squa…
Polynomial time decay for solutions of the Klein--Gordon equation on a subextremal Reissner--Nordström black hole
Yakov Shlapentokh-Rothman, Maxime Van de Moortel
We consider the massive scalar field equation on any subextremal Reissner--Nordström exterior metric . We prove that solutions with localized initi…
The asymptotics of massive fields on stationary spherically symmetric black holes for all angular momenta
Federico Pasqualotto, Yakov Shlapentokh-Rothman, Maxime Van de Moortel
We study the massive scalar field equation on a stationary and spherically symmetric black hole (including in particular the Schwarzschild and Reissner--Nords…
Violent nonlinear collapse in the interior of charged hairy black holes
Maxime Van de Moortel
We construct a new one-parameter family indexed by of two-ended, spatially-homogeneous black hole interiors solving the Einstein-Maxwell-Klein-Gordon equations with a (possibly…
Nonlinear interaction of three impulsive gravitational waves II: the wave estimates
Jonathan Luk, Maxime Van de Moortel
This is the second and last paper of a series aimed at solving the local Cauchy problem for polarized symmetric solutions to the Einstein vacuum equations featuring…
Strong Cosmic Censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry
Christoph Kehle, Maxime Van de Moortel
Motivated by the Strong Cosmic Censorship Conjecture in the presence of matter, we study the Einstein equations coupled with a charged/massive scalar field with spherically symmetr…
The breakdown of weak null singularities inside black holes
Maxime Van de Moortel
It is widely expected that generic black holes have a non-empty but weakly singular Cauchy horizon, due to mass inflation. Indeed this has been proven by the author in the spherica…
Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordström exterior space-time
Maxime Van de Moortel
We consider the Cauchy problem for the (non-linear) Maxwell-Charged-Scalar-Field equations with spherically symmetric initial data, on a sub-extremal Reissner--Nordström or Schwarz…
Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
Maxime Van de Moortel
We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordström background fast e…