Final answer:
The Riemann Curvature tensor represents the overall curvature of spacetime caused by matter and energy, while the Weyl tensor describes the stretching and squeezing of spacetime caused by gravitational waves.
Step-by-step explanation:
The Riemann Curvature tensor and the Weyl tensor are both mathematical tools used in the study of general relativity, a theory that describes the gravitational interactions in the universe. The Riemann Curvature tensor represents the overall curvature of spacetime caused by matter and energy, and it contains information about the strength and direction of gravitational forces.
On the other hand, the Weyl tensor represents the part of the curvature that is not associated with the presence of matter, known as the gravitational wave or tidal effects. It describes the stretching and squeezing of spacetime caused by gravitational waves but does not involve the presence of massive objects.