A full description of the integrability condition for the twistor equation in curved space-times and new wave equations for conformally invariant spinor fields

作者：Cardoso J G^*

来源：Journal of Mathematical Physics, 2010, 51(2): 023513.

DOI：10.1063/1.3282742

The consistency condition associated with the feasibility of setting out the twistor equation in curved space-times is considered within the frameworks of the Infeld-van der Waerden gamma epsilon-formalisms. It appears that the epsilon-formalism version of the condition bears a simpler form because of the applicability of a peculiar differential property of spin-tensor densities whose weights and antiweights are suitably related to their valences. Certain calculational techniques are likewise utilized for deriving a set of new wave equations.

• 出版日期2010-2