11 citations · 18 across the 10 of their papers we have counts for
8 papers · 1 filter
Future global stability of Maxwell-Jüttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes
Robert M. Strain, Martin Taylor, Renato Velozo Ruiz
In this work we study the general relativistic massless Boltzmann equation on Friedmann-Lemaître-Robertson-Walker spacetimes with spatial topology in the linear and…
Phase mixing and the Vlasov equation in cosmology
Martin Taylor, Renato Velozo Ruiz
We consider the Vlasov equation on slowly expanding isotropic homogeneous tori, described by the Friedmann--Lemaître--Robertson--Walker cosmological spacetimes. For expansion rate…
Quasilinear wave equations on Kerr black holes in the full subextremal range
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence, boundedness and decay for small data solutions to a general class of quasilinear wave equations on Kerr black hole backgrounds in the full sub-extrem…
Future stability of expanding spatially homogeneous FLRW solutions of the spherically symmetric Einstein--massless Vlasov system with spatial topology
Martin Taylor
Spatially homogeneous FLRW solutions constitute an infinite dimensional family of explicit solutions of the Einstein--massless Vlasov system with vanishing cosmological constant. E…
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in pa…
The non-linear stability of the Schwarzschild family of black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove the non-linear asymptotic stability of the Schwarzschild family as solutions to the Einstein vacuum equations in the exterior of the black hole region: general vacuum init…
Global stability of Minkowski space for the Einstein--Vlasov system in the harmonic gauge
Hans Lindblad, Martin Taylor
Minkowski space is shown to be globally stable as a solution to the massive Einstein--Vlasov system. The proof is based on a harmonic gauge in which the equations reduce to a syste…
The global nonlinear stability of Minkowski space for the massless Einstein--Vlasov system
Martin Taylor
Minkowski space is shown to be globally stable as a solution to the Einstein--Vlasov system in the case when all particles have zero mass. The proof proceeds by showing that the ma…