Existence of solutions to the Lichnerowicz equation: a new proof

Abstract

We provide a complete study of existence and uniqueness of solutions to the Lichnerowicz equation in general relativity with arbitrary mean curvature.

12 pages, no figure

References in corpus (2)

• A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor
• Prescribed non positive scalar curvature on asymptotically hyperbolic manifolds with application to the Lichnerowicz equation