where is the Riemann Tensor and is the Curvature Scalar. The Weyl tensor is defined so that
every Contraction between indices gives 0. In particular,
. The number of independent components for a Weyl tensor in -D is given by
See also Curvature Scalar, Riemann Tensor
Weinberg, S. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity.
New York: Wiley, p. 146, 1972.
© 1996-9 Eric W. Weisstein