What Uniqueness for the Holst-Nagy-Tsogtgerel--Maxwell Solutions to the Einstein Conformal Constraint Equations?
General Relativity and Quantum Cosmology
2025-10-16 v2 Analysis of PDEs
Differential Geometry
Abstract
This paper addresses the issue of uniqueness of solutions in the conformal method for solving the constraint equations in general relativity with arbitrary mean curvature as developed initially by Holst, Nagy, Tsogtegerel and Maxwell. We show that the solution they construct is unique amongst those having volume below a certain threshold.
Keywords
Cite
@article{arxiv.2401.07225,
title = {What Uniqueness for the Holst-Nagy-Tsogtgerel--Maxwell Solutions to the Einstein Conformal Constraint Equations?},
author = {Romain Gicquaud},
journal= {arXiv preprint arXiv:2401.07225},
year = {2025}
}
Comments
22 pages, no figure