Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

T. Birkandan*, M. Hortacşu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

We give examples of where the Heun function exists as solutions of wave equations encountered in general relativity. As a new example we find that while the Dirac equation written in the background of Nutku helicoid metric yields Mathieu functions as its solutions in four spacetime dimensions, the trivial generalization to five dimensions results in the double confluent Heun function. We reduce this solution to the Mathieu function with some transformations

Original languageEnglish
Pages (from-to)1105-1116
Number of pages12
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number5
DOIs
Publication statusPublished - 2 Feb 2007

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