On the universality of the Carter and McLenaghan formula
arXiv:0806.3844 · doi:10.1209/0295-5075/86/20003
Abstract
It is shown that the formula of the isometry generators of the spinor representation given by Carter and McLenaghan is universal in the sense that this holds for any representation either in local frames or even in natural ones. The point-dependent spin matrices in natural frames are introduced for any tensor representation deriving the covariant form of the isometry generators in these frames.
7 pages, no figures
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- Canonical quantization of the covariant fields on de Sitter spacetimes
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- Kinematics in spatially flat FLRW space-time
- Flat limit of the de Sitter QFT in the rest frame vacuum
- Time evolution of the free Dirac field in spatially flat FLRW space-times
- Isometry generators in momentum representation of the Dirac theory on the de Sitter spacetime
- Covariant fields on anti-de Sitter spacetimes