Gravity is said to be the curvature of space and time, but what does such curvature actually look like? In this video we explore the foremost solution to Einstein's equations -- the Schwarzschild solution -- in order to construct a concrete visualization of the spacetime manifold. Will this visualization grant us new insight into our higher-dimensional reality? The secrets of gravity are locked away... in The Geometry of a Black Hole.

Contents:
00:00 - Intro
00:50 - The Schwarzschild Metric
02:03 - The Schwarzschild Coordinates
06:30 - Resizing Space and Time
10:48 - Visualizing the Manifold
12:07 - Motion on the Manifold
14:14 - Reconstructing the Classical Gravitational Field
15:02 - The Geometry of a Black Hole
17:22 - Conclusion