Harmonic spinors on axisymmetric 3-manifolds with Melvin ends
Mathematical Physics
2015-02-18 v3 Differential Geometry
math.MP
Abstract
We prove the existence of harmonic spinor fields in axisymmetric Riemannian 3-manifolds having nonnegative scalar curvature and asymptotic to the usual constant time hypersurface of Melvin's magnetic universe. Such a spinor can be used in the proof of the uniqueness of the magnetized Schwarzschild solution.
Keywords
Cite
@article{arxiv.1407.3529,
title = {Harmonic spinors on axisymmetric 3-manifolds with Melvin ends},
author = {A. K. M. Masood-ul-Alam and Qizhi Wang},
journal= {arXiv preprint arXiv:1407.3529},
year = {2015}
}
Comments
12 pages. Some details added