prob4 - A.V. Manohar Show that: 1. Ph225A: General...

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Unformatted text preview: A.V. Manohar Show that: 1. Ph225A: General Relativity Problem Set 4 ln det M = Tr M -1 M for any square matrix M . 2. = 3. V ; = 1 |g| x |g|V 1 |g| |g| x 4. V; - V; = V, - V, but that V ; - V ; = V , - V , . Assume no torsion. 5. For an antisymmetric two-index tensor, F ; = 6. 2 f = 1 |g| |g|g f 1 |g| x |g|F 1 ...
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