S Brian Edgar and José M M Senovilla 2004 Class. Quantum Grav. 21 L133 doi:10.1088/0264-9381/21/22/L01
S Brian Edgar1 and José M M Senovilla2
Show affiliationsIn all dimensions n ≥ 4 and arbitrary signature, we demonstrate the existence of a new local potential—a double (2, 3)-form, Pabcde—for the Weyl curvature tensor Cabcd, and more generally for all tensors Wabcd with the symmetry properties of the Weyl tensor. The classical four-dimensional Lanczos potential for a Weyl tensor—a double (2, 1)-form, Habc—is proven to be a particular case of the new potential: its double dual.
04.20.Ex Initial value problem, existence and uniqueness of solutions
Issue 22 (21 November 2004)
Received 29 August 2004, in final form 31 August 2004
Published 29 October 2004
S Brian Edgar and José M M Senovilla 2004 Class. Quantum Grav. 21 L133
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