Stability of the Einstein-Lichnerowicz constraints system
Olivier Druet, Bruno Premoselli
TL;DR
This paper investigates the stability of the Einstein-Lichnerowicz constraints system, derived via the conformal method for Einstein equations with scalar fields, demonstrating stability on the 3-sphere under physical data variations.
Contribution
It establishes the stability of the Einstein-Lichnerowicz constraints system on the 3-sphere, a key step in understanding initial data problems in scalar field theories.
Findings
System is stable with respect to physical data on the 3-sphere
Provides mathematical proof of stability for the constraints system
Enhances understanding of initial data formulation in Einstein-scalar field models
Abstract
We study the Einstein-Lichnerowicz constraints system, obtained through the conformal method when addressing the initial data problem for the Einstein equations in a scalar field theory. We prove that this system is stable with respect to the physics data when posed on the standard -sphere.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Navier-Stokes equation solutions