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Episode 136: Introduction to General Relativity

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Manage episode 363032919 series 2979622
Content provided by James Fodor. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by James Fodor or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.

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.

If you enjoyed the podcast please consider supporting the show by making a PayPal donation or becoming a Patreon supporter.

https://www.patreon.com/jamesfodor

https://www.paypal.me/ScienceofEverything

  continue reading

161 episodes

Artwork
iconShare
 
Manage episode 363032919 series 2979622
Content provided by James Fodor. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by James Fodor or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.

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.

If you enjoyed the podcast please consider supporting the show by making a PayPal donation or becoming a Patreon supporter.

https://www.patreon.com/jamesfodor

https://www.paypal.me/ScienceofEverything

  continue reading

161 episodes

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