61 citations · 260 across the 22 of their papers we have counts for
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gr-qc2004★ 14 cited
A local potential for the Weyl tensor in all dimensions
S. Brian Edgar, José M. M. Senovilla
In all dimensions and arbitrary signature, we demonstrate the existence of a new local potential -- a double (2,3)-form -- for the Weyl curvature tensor, and more generally for all…
gr-qc2004
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…
math.DG2004★ 5 cited
Necessary and sufficient conditions for n-dimensional conformal Einstein spaces via dimensionally dependent identities
S. Brian Edgar
Listing has recently extended results of Kozameh, Newman and Tod for four-dimensional spacetimes and presented a set of necessary and sufficient conditions for a metric to be local…