An introduction to the conceptual and mathematical framework of Einstein's General Theory of Relativity. We begin by considering the key insight of gravity as a geometric phenomenon, and how the curvature of spacetime by matter explains the equality of inertial and gravitational mass. We then discuss the mathematics of general relativity, including geodesics, differential manifolds, covariant derivatives, the metric tensor, Christoffel symbols, the Riemann curvature tensor, the Ricci tensor, and the energy-momentum tensor. The episode concludes with a derivation and explanation of the significance of Einstein's Field Equations. Recommended pre-listening is Episodes 114 and 115: Special Relativity 1 and 2.
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Episode 126: Depression and Serotonin
Special Episode: Genetic Testing
Episode 125: Earthquakes
Episode 124: Volcanoes
Episode 123: Respiratory and Circulatory Systems Part 2
Episode 17: Energy, Work, and Momentum
Episode 16: Profits and Competition
Episode 15: Chemical Bonding
Episode 14: Principles of Quantum Mechanics
Episode 13: Newtonian Mechanics
Episode 12: The Price System
Episode 11: The Origin of the Universe
Episode 10: The Cell
Episode 9: Matter and Molecules
Episode 8: History of the Atom
Episode 7: Introspection Illusion
Episode 6: Thermodynamics
Episode 5: Corporate Conspiracies
Episode 4: The Origin of Life
Episode 3: Organic Agriculture Part 2
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