General Relativity Lecture 9: Energy Momentum Tensor and Equivalence Principle Primer

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Lecture from 2021 senior/graduate level course in general relativity in physics at Colorado School of Mines. You can follow along at:
  1. Alex Flournoy
  2. group theory
  3. vectors
  4. vector spaces
  5. hermitian
  6. linear transformations
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This was a great lecture. Thank you Prof F! I will mention one question just in case it interests anyone -- I certainly do not expect an answer (I am a 66 year old guy thankfully learning on YouTube, not taking the course). At about 17:25, Prof F started the process of calculating T^01 and then stopped, noting that we already know it by symmetry (to be pi^1). If you actually carry that equation out, , you get T^01 = dP^0/(dtdA_yz), which is not easy (for me anyway) to connect to pi^1. Basically you would have to show that dp_x/dV = (dE/dt)(1/A_yz) -- again not obvious to me. I will look at it more when I have time and post any further insights if I get them.

richardthomas
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Really love these videos, especially the QCD ones

CCequalPi
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The energy tensor for vacuum solution such as Kerr metric and Schwarzschild metric is actually not zero in 3-D submanifold.

ericsu
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WTF = was that ??? Wasn't clear XD

athuldev