Twistors and the asymptotic behaviour of massless spin- fields

Frauendiener, Jörg; Ghosh, Jaideep; Newman, Ezra T.

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Twistors and the asymptotic behaviour of massless spin- fields

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Frauendiener, Jörg
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Frauendiener, J., Ghosh, J., & Newman, E. T. (1996). Twistors and the asymptotic behaviour of massless spin- fields. Classical and Quantum Gravity, 13(3), 461-480.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B52-9

Abstract

In this work the asymptotic solutions of massless spin- fields are studied. First, in a Minkowski space, the fields, their potentials, and the associated gauges are analysed in the Rarita - Schwinger description. We exhibit the explicit appearance of the conserved charges of the fields and their singular behaviour in the potentials. The charges of the spin- fields emerge as a global definition of twistors. The flat space case serves as a guide in the analysis of the problem in general vacuum spacetimes. Although the fundamental connection between and the meaning of twistors and charges have not, as yet, been established in general vacuum spacetimes, some useful insights have nevertheless been gained in studying the potential-modulo-gauge description of the spin- problem in such spacetimes.