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Spinor methods in conformal Killing transport

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Abstract

The equations of conformal Killing transport are discussed using tensor and spinor methods. It is shown that, in Minkowski space-time, the equations for a null conformal Killing vector ξa are completely determined by the corresponding spinor ωA and its covariant derivative, which defines a spinor π A′ . In conformally flat space-time, the covariant derivative of π A′ is also involved. Some applications to twistor theory are briefly mentioned.

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References

  • Dighton, K. (1974).International Journal of Theoretical Physics,11, 31.

    Google Scholar 

  • Geroch, R. (1969).Communications in Mathematical Physics,13, 180.

    Google Scholar 

  • Kobayashi, S. and Nomizu, K. (1963).Foundations of Differential Geometry, Vol. 1, Interscience, New York.

    Google Scholar 

  • Penrose, R. (1967).Journal of Mathematical Physics,8, 345.

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  • Penrose, R. and MacCallum, M. (1972).Twistor Theory: an Approach to the Quantisation of Fields and Space-Time, Institute of Theoretical Astronomy, Cambridge.

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Dighton, K. Spinor methods in conformal Killing transport. Int J Theor Phys 14, 137–144 (1975). https://doi.org/10.1007/BF01807981

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  • DOI: https://doi.org/10.1007/BF01807981

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