Stability of the Einstein-Lichnerowicz constraints system

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 $3$-sphere.

Minor changes, some typos fixed and references added

References in corpus (1)

• Lectures on black holes and linear waves

Cited by in corpus (1)

• Non-compactness and infinite number of conformal initial data sets in high dimensions