English

Dirac Equation in the Background of the Nutku Helicoid Metric

General Relativity and Quantum Cosmology 2008-11-26 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0706.2543,
  title  = {Dirac Equation in the Background of the Nutku Helicoid Metric},
  author = {T. Birkandan and M. Hortacsu},
  journal= {arXiv preprint arXiv:0706.2543},
  year   = {2008}
}

Comments

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