The Dirac equation on metrics of Eguchi-Hanson type
Differential Geometry
2023-06-07 v1 General Relativity and Quantum Cosmology
Abstract
We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors are complex 2-dimensional. For the metrics of Eguchi-Hanson type with the zero scalar curvature, we separate variables for the harmonic spinors and obtain the solutions explicitly.
Cite
@article{arxiv.2305.18344,
title = {The Dirac equation on metrics of Eguchi-Hanson type},
author = {Zhuohua Cai and Xiao Zhang},
journal= {arXiv preprint arXiv:2305.18344},
year = {2023}
}
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11 pages