Existence of solutions to the Lichnerowicz equation: a new proof
Romain Gicquaud
TL;DR
This paper presents a new proof establishing the existence and uniqueness of solutions to the Lichnerowicz equation in general relativity, applicable to arbitrary mean curvature scenarios.
Contribution
It offers a novel proof technique for the existence and uniqueness of solutions to the Lichnerowicz equation in the context of general relativity.
Findings
Proves existence of solutions for arbitrary mean curvature.
Establishes uniqueness of solutions in the studied setting.
Provides a comprehensive analysis of the Lichnerowicz equation.
Abstract
We provide a complete study of existence and uniqueness of solutions to the Lichnerowicz equation in general relativity with arbitrary mean curvature.
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