1. Hold a bedsheet flat and taut. (A "stretchy" sheet or blanket works best.) Have students stand around the bedsheet.
2. Roll several small balls back and forth across it. Observe their paths. The balls roll straight across the sheet. If Student A rolls a ball across the sheet toward Student B, the ball rolls straight to Student B- its path does not change.
3. Now place a heavy ball or weight in the center of the bedsheet. Hold the sheet taut, but let it sag in the middle where the weight is.
4. Roll the small balls across the sheet again. Observe their paths. This time, if Student A rolls a ball across the sheet toward Student B, the ball curves away from Student B- its path does change. Try and make the balls curve around the weight in some kind of orbit.
Why do the balls curve around the weight? Because they have no choice! In this model of spacetime, as the balls roll across the sheet, they are "gripped" by the sheet. Whatever shape the sheet takes, the balls will follow. In areas of space where the structure is flat, the balls roll straight. In areas of space near masses, spacetime curves and the balls curvewith it.
Mass distorts spacetime, causing it to curve.
Gravity can be described as motion caused in curved spacetime .Gravity in general relativity is described in terms of curved spacetime. The idea that spacetime is distorted by motion, as in special relativity, is extended to gravity by the equivalence principle. Gravity comes from matter, so the presence of matter causes distortions or warps in spacetime. Matter tells spacetime how to curve, and spacetime tells matter how to move (orbits).