Article thumbnail

Harmonic spinors on axisymmetric 3-manifolds with Melvin ends

By A. K. M. Masood-ul-Alam and Qizhi Wang


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.Comment: 12 pages. Some details adde

Topics: Mathematical Physics, Mathematics - Differential Geometry, 53C21, 53C24, 53Z05
Year: 2015
OAI identifier:

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

Suggested articles