Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-07-25
J.Phys.A40:1105-1116,2007; J.Phys.A40:11203,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, Minor improvements, references added
Scientific paper
10.1088/1751-8113/40/5/016 10.10
We give examples where the Heun function exists in general relativity. It turns out that while a wave equation written in the background of certain metric yields Mathieu functions as its solutions in four space-time 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.
Birkandan Tolga
Hortacsu M.
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