4 papers · 1 filter
Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities
S. Brian Edgar
We exploit four-dimensional tensor identities to give a very simple proof of the existence of a Lanczos potential for a Weyl tensor in four dimensions with any signature, and to sh…
Local Existence of Spinor- and Tensor Potentials
F. Andersson, S. B. Edgar
We give new simple direct proofs in all spacetimes for the existence of asymmetric -spinor potentials for completely symmetric -spinors and for the existence of s…
Spinors, Spin Coefficients and Lanczos Potentials
F. Andersson, S. B. Edgar
It has been demonstrated, in a number of special situations, that the spin coefficients of a canonical spinor dyad can be used to define a Lanczos potential of the Weyl curvature s…
The Lanczos potential for the Weyl curvature tensor: existence, wave equation and algorithms
S. Brian Edgar, A. Höglund
In the last few years renewed interest in the 3-tensor potential proposed by Lanczos for the Weyl curvature tensor has not only clarified and corrected Lanczos's origina…