250 citations · 1.1k across the 130 of their papers we have counts for
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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…
A first-order formulation of f(R) gravity in spherical symmetry
Philippe G. LeFloch, Filipe C. Mena
We develop an augmented characteristic, first-order formulation of the field equations in f(R) gravity governing the global evolution of a (possibly) massive scalar field phi under…
The global nonlinear stability of Minkowski spacetime with self-gravitating massive Dirac fields
Philippe G. LeFloch, Yue Ma, Weidong Zhang
We consider the Einstein-Dirac system for a massive field, which describes the evolution of self-gravitating massive spinor fields, and we investigate the global evolution problem,…
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…
The Euclidean-hyperboloidal foliation method. Application to f(R) modified gravity
Philippe G. LeFloch, Yue Ma
This paper is a part of a series devoted to the Euclidean-hyperboloidal foliation method introduced by the authors for investigating the global existence problem associated with no…