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

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

T. Birkandan
(
- Istanbul, Tech. U.
)
,
M. Hortacsu
(
- Istanbul, Tech. U. and
- Feza Gursey Inst.
)

Jul, 2006

14 pages

Published in:

J.Phys.A 40 (2007) 1105-1116,
J.Phys.A 40 (2007) 11203

e-Print:

gr-qc/0607108 [gr-qc]

DOI:

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Abstract: (arXiv)

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.

Note:

18 pages, Minor improvements, references added Subj-class: General Relativity and Quantum Cosmology: Mathematical Physics Journal-ref: J. Phys. A: Math. Theor. 40 (2007) 1105 - 1116

References(17)

Figures(0)

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George Siopsis
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)

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