I Ta-Pei Cheng's "Relativity & Cosmology" Course on YouTube

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Ta-Pei Cheng's "Relativity & Cosmology" course on YouTube offers a comprehensive exploration of advanced topics in physics. The course is accompanied by a well-regarded textbook on gauge theory co-authored by Cheng and Li, which is recognized as a standard reference. The lectures are aimed at those interested in deepening their understanding of relativity and cosmology. The YouTube channel features organized playlists for easy navigation of the content. Overall, this course presents a valuable resource for students and enthusiasts of theoretical physics.
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I know the book on gauge theory by Cheng and Li which is a good standard textbook.
 

Thread 'Is using r as a coordinate in Birkhoff's theorem a limitation?'

In Birkhoff’s theorem, doesn’t assuming we can use r (defined as circumference divided by ## 2 \pi ## for any given sphere) as a coordinate across the spacetime implicitly assume that the spheres must always be getting bigger in some specific direction? Is there a version of the proof that doesn’t have this limitation? I’m thinking about if we made a similar move on 2-dimensional manifolds that ought to exhibit infinite order rotational symmetry. A cylinder would clearly fit, but if we...
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