Recent content by dpdt

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    Deriving geodesic equation from energy-momentum conservation

    This statement makes sense to me; I always got myself confused when dealing with partial vs. total derivatives. I think I understood the derivation now. Thank you for your help, and for your original post!
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    Deriving geodesic equation from energy-momentum conservation

    Thank you again for your answer! Would you mind elaborating on the reason of why ## \partial_j X^c = 0 ## ? I understand that seeing ## X^c ## as a function of the geodesic parameter ##s## allows one to set ## \partial_j X^c = 0 ##, but isn't also true that ## \partial_j X^c = \partial_j (x^c...
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    Deriving geodesic equation from energy-momentum conservation

    Dear Samalkhaiat, Thank you, both for your reply and your original post. I still have two questions. For your ease of reading, I am highlighting my 2 questions in boldfont. Starting from equation (R) of your post: ## \int d^3x [\partial_0 (\sqrt{-g} T^{a0} x^c) + \partial_j (\sqrt{-g} T^{aj}...
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    Deriving geodesic equation from energy-momentum conservation

    Hi all, I am trying to follow the calculation by samalkhaiat in this thread: https://www.physicsforums.com/threads/finding-equations-of-motion-from-the-stress-energy-tensor.547502/page-2 (post number 36). I am having some difficulty getting the equation above equation (11) (it was an unnumbered...
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