Generalized total angular momentum operator for the Dirac equation in curved space-time
- 15 February 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 19 (4) , 1093-1097
- https://doi.org/10.1103/physrevd.19.1093
Abstract
It is found that an operator of the form commutes with the Dirac operator whenever is an antisymmetric tensor satisfying the Penrose-Floyd equation . Such a tensor exists notably in the Kerr solutions and in the flat-space limit wherein the operator can be interpreted as the square root of the ordinary total squared angular momentum Casimir operator of the rotation group.
Keywords
This publication has 18 references indexed in Scilit:
- Dirac equation around a charged, rotating black holePhysical Review D, 1976
- The solution of Dirac’s equation in Kerr geometryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1976
- On the relationship between Killing tensors and Killing-Yano tensorsInternational Journal of Theoretical Physics, 1976
- NAKED SINGULARITIESAnnals of the New York Academy of Sciences, 1973
- Separability of the Neutrino Equations in a Kerr BackgroundPhysical Review Letters, 1973
- Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field PerturbationsThe Astrophysical Journal, 1973
- Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic PerturbationsPhysical Review Letters, 1972
- On quadratic first integrals of the geodesic equations for type {22} spacetimesCommunications in Mathematical Physics, 1970
- Type D Vacuum MetricsJournal of Mathematical Physics, 1969
- Global Structure of the Kerr Family of Gravitational FieldsPhysical Review B, 1968