Dirac Equation in the Background of the Nutku Helicoid Metric - INSPIRE

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Dirac Equation in the Background of the Nutku Helicoid Metric

T. Birkandan
(
- Istanbul, Tech. U.
)
,
M. Hortacsu
(
- Istanbul, Tech. U.
)

Jun, 2007

24 pages

Published in:

J.Math.Phys. 48 (2007) 092301

e-Print:

0706.2543 [gr-qc]

DOI:

10.1063/1.2785124

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Abstract: (arXiv)

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. We also show a peculiarity in the solution of the scalar equation for the Eguchi-Hanson solution.

04.62.+v
Dirac equation
gravitation

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