Animate how massive objects like stars warp spacetime using a 3D grid deformation. Show a flat grid bending under a sphere to represent gravity. Illustrate light following curved paths (geodesics). Gradually add multiple masses and demonstrate gravitational lensing. Include LaTeX for Einstein’s field equation and highlight curvature tensors.
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Spacetime is not just empty void, but a dynamic geometric fabric that can be visualized as a flexible grid. Einstein's field equation shows the fundamental relationship: the Einstein tensor G represents spacetime curvature, while the stress-energy tensor T represents matter and energy density. This grid can bend and flex, setting the stage for understanding gravity as geometry.
When a massive star is placed above the spacetime grid, it creates a depression or gravitational well. The grid lines bend and curve around the mass, with the strongest deformation near the object. This curvature, described by the Riemann tensor, represents the true nature of gravity - not a pulling force, but the curved geometry of spacetime itself.