37 citations · 220 across the 22 of their papers we have counts for
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gr-qc2007★ 3 cited
A Newman-Penrose Calculator for Instanton Metrics
T. Birkandan
We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using Newman-Penrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum fi…
gr-qc2007★ 3 cited
Heun and Mathieu functions as solutions of the Dirac equation
T. Birkandan, M. Hortacsu
We give examples of where the Heun function exists as solutions of wave equations encountered in general relativity. While the Dirac equation written in the background of Nutku hel…
gr-qc2007★ 19 cited
Dirac Equation in the Background of the Nutku Helicoid Metric
T. Birkandan, M. Hortacsu
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 excl…