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Title: Separation of variables for the Dirac equation in an extended class of Lorentzian metrics with local rotational symmetry
Authors: Iyer, B.R.
Kamran, N.
Issue Date: Sep-1991
Publisher: The American Institute of Physics
Citation: Journal of Mathematical Physics, 1991, Vol.32, p2497-2502
Abstract: The question of the separability of the Dirac equation in metrics with local rotational symmetry is reexamined by adapting the analysis of Kamran and McLenaghan [J. Math. Phys. 25, 1019 (1984)] for the metrics admitting a two-dimensional Abelian local isometry group acting orthogonally transitively. This generalized treatment, which involves the choice of a suitable system of local coordinates and spinor frame, allows one to establish the separability of the Dirac equation within the class of metrics for which the previous analysis of Iyer and Vishveshwara [J. Math. Phys. 26, 1034 (1985)] had left the question of separability open.
ISSN: 0022-2488
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Copyright: (1991) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Appears in Collections:Research Papers (TP)

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