English

Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant

Analysis of PDEs 2018-02-16 v2 General Relativity and Quantum Cosmology Differential Geometry

Abstract

In this note we prove an existence result for the Einstein conformal constraint equations for metrics with vanishing Yamabe invariant assuming that the TT-tensor is small in L2L^2.

Keywords

Cite

@article{arxiv.1802.05080,
  title  = {Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant},
  author = {Romain Gicquaud},
  journal= {arXiv preprint arXiv:1802.05080},
  year   = {2018}
}

Comments

22 pages, no figure. Comments welcome!