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Harmonic spinors on axisymmetric 3-manifolds with Melvin ends

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

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.Comment: 12 pages. Some details adde

Topics: Mathematical Physics, Mathematics - Differential Geometry, 53C21, 53C24, 53Z05
Year: 2015
OAI identifier: oai:arXiv.org:1407.3529

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