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(differential geometry) A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force.

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Weyl tensor

In vacuum solutions of Einstein's equations, the Weyl tensor encodes the tidal forces that distort freely falling bodies without changing their volume.

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In vacuum solutions of Einstein's equations, the Weyl tensor encodes the tidal forces that distort freely falling bodies without changing their volume.

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