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The Xi-transform for conformally flat space-time

George Sparling
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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.

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George Sparling. 2006-12-01. The Xi-transform for conformally flat space-time. https://arxiv.org/abs/gr-qc/0612006

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