Relativity and Cosmology


On Lanczos' Conformal Trick

Authors: William O. Straub

The Weyl conformal tensor describes the distorting but volume-preserving tidal effects of gravitation on a material body. A rather complicated combination of the Riemann-Christoffel tensor, the Ricci tensor and the Ricci scalar, the Weyl tensor is used in the construction of a unique conformally-invariant Lagrangian. In 1938 Cornelius Lanczos discovered a clever simplification of the mathematics that eliminated the RC term, thus considerably reducing the complexity of the overall Lagrangian. Here we present an equivalent but simpler approach to the one Lanczos used.

Comments: 4 Pages. Final edits added

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Submission history

[v1] 2014-06-30 22:43:23
[v2] 2014-07-01 08:47:24
[v3] 2014-07-03 17:24:37

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