Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant

2018/02/14 by Romain Gicquaud, Gicquaud, Romain
Mathematics · Physics and Astronomy · #35Q75 #53C21 (Primary) #53C80 #83C05 (Secondary) #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1802.05080

openalex publication_date 2018/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove an existence result for the Einstein conformal constraint equations for metrics with vanishing Yamabe invariant assuming that the TT-tensor is small in L².

Citations

• Numerical Bifurcation Analysis of the Conformal Method

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