The Dirac equation on metrics of Eguchi-Hanson type

Published 26 May 2023 in math.DG and gr-qc | (2305.18344v1)

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.

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