3 papers
math.AP2026
Einstein Type Systems on Complete Manifolds
Rodrigo Avalos, Jorge Lira, Nicolas Marque
In this paper, we study the coupled Einstein constraint equations on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. T…
gr-qc2026
On energy and its positivity in spacetimes with an expanding flat de Sitter background
Rodrigo Avalos, Eric Ling, Annachiara Piubello
The positive energy theorems are a fundamental pillar in mathematical general relativity. Originally proved by Schoen-Yau and later Witten, these theorems were established for asym…
math.DG2026
Rigidity Theorems for Asymptotically Euclidean -singular Spaces
Rodrigo Avalos, Paul Laurain, Nicolas Marque
In this paper we prove some rigidity theorems associated to -curvature analysis on asymptotically Euclidean (AE) manifolds, which are inspired by the analysis of conservation pr…