63 citations · 352 across the 21 of their papers we have counts for
13 papers · 1 filter
The initial boundary value problem in General Relativity: the umbilic case
Grigorios Fournodavlos, Jacques Smulevici
We give a short proof of local well-posedness for the initial boundary value problem in general relativity with sole boundary condition the requirement that the boundary is umbilic…
The Stability of the Minkowski space for the Einstein-Vlasov system
David Fajman, Jérémie Joudioux, Jacques Smulevici
We prove the global stability of the Minkowski space viewed as the trivial solution of the Einstein-Vlasov system. To estimate the Vlasov field, we use the vector field and modifie…
Asymptotic properties of linear field equations in anti-de Sitter space
Gustav Holzegel, Jonathan Luk, Jacques Smulevici +1
We study the global dynamics of the wave equation, Maxwell's equation and the linearized Bianchi equations on a fixed anti-de Sitter (AdS) background. Provided dissipative boundary…
Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes
Philippe G. LeFloch, Jacques Smulevici
We investigate the late-time asymptotics of future expanding, polarized vacuum Einstein spacetimes with T2-symmetry on T3, which, by definition, admit two spacelike Killing fields.…
Weakly regular T2 symmetric spacetimes. The future causal geometry of Gowdy spaces
Philippe G. LeFloch, Jacques Smulevici
We investigate the future asymptotic behavior of Gowdy spacetimes on T3, when the metric satisfies weak regularity conditions, so that the metric coefficients (in suitable coordina…
Quasimodes and a Lower Bound on the Uniform Energy Decay Rate for Kerr-AdS Spacetimes
Gustav Holzegel, Jacques Smulevici
We construct quasimodes for the Klein-Gordon equation on the black hole exterior of Kerr-Anti-de Sitter (Kerr-AdS) spacetimes. Such quasi-modes are associated with time-periodic ap…