Dirac Equation in the Background of the Nutku Helicoid Metric

Details Dirac Equation in the Background of the Nutku Helicoid Metric Dirac Equation in the Background of the Nutku Helicoid Metric

2007-06-18

arxiv.org/abs/0706.2543v2

J.Math.Phys.48:092301,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure, TeX file using boxedeps. Replaced by the revised version

Scientific paper

10.1063/1.2785124

We study the solutions of the Dirac equation in the background of the Nutku
helicoid metric. This metric has curvature singularities, which necessitates
imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer non
local spectral boundary conditions for both the four and the five dimensional
manifolds.

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