Separability of the Dirac equation in a class of perfect fluid space-times with local rotational symmetry

Iyer, B. R. ; Vishveshwara, C. V. (1985) Separability of the Dirac equation in a class of perfect fluid space-times with local rotational symmetry Journal of Mathematical Physics, 26 (5). pp. 1034-1039. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v26/i5/p1034_...

Related URL: http://dx.doi.org/10.1063/1.526534

Abstract

Chandrasekhar's technique for separation of the Dirac equation in the Kerr background is applied to perfect fluid space-times with local rotational symmetry. These space-times fall into three distinct types. It is found that in case (1) the Dirac equation separates if the space-time is at least "locally static" while in case (3) it separates if the space-time is at least "locally diagonal", in contrast to the massless case where Dhurandhar, Vishveshwara, and Cohen showed that the Hertz potential is separable in all cases. In case (2), however, the Dirac equation is separable in all those cases where the Hertz potential for neutrinos is separable.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Symmetry; Dirac Equation; Space-time; Rotation; Dirac Cosmology; Gravitation; Electromagnetic Fields; Potentials; Neutrinos; Perturbation Theory; Kerr Metric; Spinors; Geodesics; Analytical Solution; Fluid Flow; Wave Functions; Mass; Spin; Mathematical Operators; Time Dependence; Boundary Conditions
ID Code:58663
Deposited On:02 Sep 2011 03:56
Last Modified:18 May 2016 09:32

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