The Geometry of a Black Hole

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