Main Question or Discussion Point
Can anyone give me a geometrical interpretation of the weyl curvature tensor?
http://en.wikipedia.org/wiki/Weyl_tensorCan anyone give me a geometrical interpretation of the weyl curvature tensor?
The Weyl tensor differs from the Riemann curvature tensor in that it does not convey information on how the volume of the body changes, but rather only how the shape of the body is distorted by the tidal force. The Ricci curvature, or trace component of the Riemann tensor contains precisely the information about how volumes change in the presence of tidal forces, so the Weyl tensor is the traceless component of the Riemann tensor.