Dirac Equation in the Background of the Nutku Helicoid Metric

Abstract

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.

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

References in corpus (2)

• Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces
• Integrable geodesic flows and Multi-Centre versus Bianchi A metrics

Cited by in corpus (5)

• Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution
• A massless scalar particle coupled to the Wahlquist metric
• Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field
• Symbolic analysis of second-order ordinary differential equations with polynomial coefficients
• Analysis of scalar fields with series convolution