On the Six-dimensional Kerr Theorem and Twistor Equation
High Energy Physics - Theory
2014-06-20 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1401.1374,
title = {On the Six-dimensional Kerr Theorem and Twistor Equation},
author = {Bruno Carneiro da Cunha},
journal= {arXiv preprint arXiv:1401.1374},
year = {2014}
}
Comments
JHEP style, 19 pages, minor corrections. Matches printed version