English

Solutions of special asymptotics to the Einstein constraint equations

General Relativity and Quantum Cosmology 2015-05-18 v2 Differential Geometry

Abstract

We construct solutions with prescribed asymptotics to the Einstein constraint equations using a cut-off technique. Moreover, we give various examples of vacuum asymptotically flat manifolds whose center of mass and angular momentum are ill-defined.

Keywords

Cite

@article{arxiv.1002.1472,
  title  = {Solutions of special asymptotics to the Einstein constraint equations},
  author = {Lan-Hsuan Huang},
  journal= {arXiv preprint arXiv:1002.1472},
  year   = {2015}
}

Comments

13 pages; the error in Lemma 3.5 fixed and typos corrected; to appear in Class. Quantum Grav

R2 v1 2026-06-21T14:44:18.717Z