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arXiv · 1401.1374

On the Six-dimensional Kerr Theorem and Twistor Equation

Bruno Carneiro da Cunha
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Abstract

The Kerr theorem is revisited as part of the twistor program in six dimensions. The relationship between pure spinors and integrable 3-planes is investigated. The real condition for Lorentzian spacetimes is seen to induce a projective property in the space of solutions, reminiscent of the quaternionic structure of the 6-dimensional Lorentz group. The twistor equation (or Killing spinor equations generically) also has an interpretation as integrable null planes and a family of Einstein spacetimes with this property are presented in the Kerr-Schild fashion.

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Bruno Carneiro da Cunha. 2014-06-19. On the Six-dimensional Kerr Theorem and Twistor Equation. https://doi.org/10.1140/epjc%2Fs10052-014-2854-y

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