Dirac symmetry operators from conformal Killing-Yano tensors

Classical and Quantum Gravity

Volumn 14, Issue 5, 1997, Pages 1037-1042

  Benn, I M ^a   Charlton, Philip ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031536196     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/14/5/011     Document Type: Article

References (12)

1. Yano K 1952 Some remarks on tensor fields and curvature Ann. Math. 55 328-47
2. Shun ichi Tachibana 1969 On conformal Killing tensor in a Riemannian space Tôhoku Math. J. 21 56-64
3. Kashiwada T 1968 Natural Science Report, Ochanomizu University 19 67-74
4. Tachibana S and Kashiwada T 1969 On the integrability of Killing-Yano equations J. Math. Soc. Japan 21 259-65
5. Hall G S 1987 Killing-Yano tensors in general relativity Int. J. Theor. Phys. 26 71-81
6. Kamran N and McLenaghan R G 1984 Symmetry operators for the neutrino and Dirac fields on curved spacetime Phys. Rev. D 30 357-62
7. Carter B and McLenaghan R G 1979 Generalized total angular momentum operator for the Dirac equation in curved spacetime Phys. Rev. D 19 1093-7
8. Torres del Castillo G F 1985 Killing spinors and massless spinor fields Proc. R. Soc. A 400 119-26
9. Benn I M, Charlton P and Kress J 1996 Debye potentials for Maxwell and Dirac fields from a generalization of the Killing-Yano equations Preprint gr-qc/9610037
10. Benn I M and Tucker R W 1987 An Introduction to Spinors and Geometry with Applications in Physics (Bristol: IOP)
11. McLenaghan R G and Spindel Ph 1979 Quantum numbers for Dirac spinor fields on a curved spacetime Phys. Rev. D 20 409-13
12. Kalnins E G, McLenaghan R G and Williams G C 1992 Symmetry operators for Maxwell's equations on curved spacetime Proc. R. Soc. A 439 103-13