The Xi-transform for conformally flat space-time
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The Xi-transform is a new spinor transform arising naturally in Einstein's general relativity. Here the example of conformally flat space-time is discussed in detail. In particular it is shown that for this case, the transform coincides with two other naturally defined transforms: one a two-variable transform on the Lie group SU(2, C), the other a transform on the space of null split octaves. The key properties of the transform are developed.
Keywords
Cite
@article{arxiv.gr-qc/0612006,
title = {The Xi-transform for conformally flat space-time},
author = {George Sparling},
journal= {arXiv preprint arXiv:gr-qc/0612006},
year = {2007}
}
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51 pages