8 citations · 11 across the 3 of their papers we have counts for
3 papers
gr-qc2022
Global evolution in spherical symmetry for self-gravitating massive fields
Philippe G. LeFloch, Filipe C. Mena, The-Cang Nguyen
We are interested in the global dynamics of a massive scalar field evolving under its own gravitational field and, in this paper, we study spherically symmetric solutions to Einste…
math.AP2019★ 3 cited
The seed-to-solution method for the Einstein constraints and the asymptotic localization problem
Philippe G. LeFloch, The-Cang Nguyen
We establish the existence of a class of asymptotically Euclidean solutions to Einstein's constraint equations, whose asymptotic behavior at infinity is arbitrarily prescribed. The…
math-ph2014★ 8 cited
Applications of Fixed Point Theorems to the Vacuum Einstein Constraint Equations with Non-Constant Mean Curvature
Nguyen The Cang
In this paper, we introduce new methods for solving the vacuum Einstein constraints equations: the first one is based on Schaefer's fixed point theorem (known methods use Schauder'…