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 88: Cartography and Earths Seasons
Episode 87: The Geography of Planet Earth
Episode 86: The Evidence for Evolution
Episode 85: Introduction to Quantum Field Theory
Episode 84: Advanced Quantum Mechanics Part II
Episode 83: Advanced Quantum Mechanics Part I
Episode 82: Racial Differences in Intelligence
Episode 81: Intelligence Part 2
Episode 80: Intelligence Part 1
Episode 79: Basic Concepts in Statistics
Episode 78: Hearing
Episode 77: Nuclear Physics and Radioactivity
Episode 76: GDP and Unemployment
Episode 75: Cellular Respiration
Episode 74: Minerals and Rocks
Episode 73: Introduction to the Immune System Part 2
Episode 72: Introduction to the Immune System Part 1
Episode 71: Political Ideologies
Episode 70: Animal Diversity Part 2
Episode 69: Animal Diversity Part 1
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