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 142: The Greenhouse Effect
Episode 141: Natural Climate Change
Episode 140: A History of Earth's Climate
Special Episode: Dinosaurs in Popular Culture
Episode 139: Cybersecurity and Cryptocurrencies
Episode 138: Biochemistry and Metabolism
Episode 137: The Digestive System
Episode 135: The Science of Emotion
Episode 134: Hormones and the Endocrine System
Episode 133: Motor Control
Special Episode: Evolution and Genetics
Episode 132: The Muscular System
Special Episode: Language in Brains and Machines
Episode 131: Sleep Science
Episode 130: Transition Metal Chemistry
Episode 129: Glaciers, Ice, and Groundwater
Episode 128: Wind, Deserts, and Coasts
Episode 127: Weathering, Erosion, and Rivers
Episode 126: Depression and Serotonin
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