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 27: Intermolecular Bonds and Phase Transitions
Episode 26: Human Organ Systems
Episode 25: Organs, Tissues and Systems
Episode 24: Vibrations and Waves
Episode 23: Chemical Reactions
Episode 22: Our Place in the Cosmos
Episode 21: Introduction to Evolution
Episode 20: The Reliability of Memory
Episode 18: Biochemistry Basics
Episode 19: Market Failure
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: The Atom
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