320 citations · 995 across the 29 of their papers we have counts for
8 papers · 1 filter
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection
Bruno Le Floch, Philippe G. LeFloch
We study the global evolution problem for the Einstein equations under T2 symmetry on T3, allowing vacuum, scalar-field, and compressible-fluid matter models, governed by a general…
Scattering laws for interfaces in self-gravitating matter flows
Bruno Le Floch, Philippe G. LeFloch
We consider the evolution of self-gravitating matter fields that may undergo phase transitions, and we connect ideas from phase transition dynamics with concepts from bouncing cosm…
Optimal shielding for Einstein gravity
Bruno Le Floch, Philippe G. LeFloch
To construct asymptotically-Euclidean Einstein's initial data sets, we introduce the localized seed-to-solution method, which projects from approximate to exact solutions of the Ei…
Optimal localization for the Einstein constraints
Bruno Le Floch, Philippe G. LeFloch
We establish the existence of asymptotically Euclidean solutions, or initial data sets, to Einstein's vacuum constraints exhibiting both gravitational shielding and arbitrarily low…
Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. To this end, we formulate the characterist…
Universal scattering laws for quiescent bouncing cosmology
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
Cosmological bounces occur in many gravity theories. We define singularity scattering maps relating large scale geometries before and after the bounce (assuming no BKL oscillations…
Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
For spacetimes containing quiescent singularity hypersurfaces we propose a general notion of junction conditions based on a prescribed singularity scattering map, as we call it, an…
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry
Bruno Le Floch, Philippe G. LeFloch
We are interested in the evolution of a compressible fluid under its self-generated gravitational field. Assuming here Gowdy symmetry, we investigate the algebraic structure of the…