Spinorial coordinates for Lorentzian 4-metrics
General Relativity and Quantum Cosmology
2021-10-12 v2
Abstract
Lorentzian 4-metrics are expressed in spinorial coordinates. In these coordinates the metric components can be factorized into a product of complex conjugate quantities. The linearized theory and Einstein's vacuum field equations are studied using these coordinates. The relationship between Lorentzian and complex 4-metrics is discussed.
Cite
@article{arxiv.2104.02067,
title = {Spinorial coordinates for Lorentzian 4-metrics},
author = {D. C. Robinson},
journal= {arXiv preprint arXiv:2104.02067},
year = {2021}
}
Comments
Equations added. Final section re-written