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A Divergence of (covaraint) energymomentum tensor

  1. Dec 26, 2017 #41
    I quote "no good way of defining global energy conservation", why is that?
     
  2. Dec 26, 2017 #42

    Orodruin

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  3. Dec 26, 2017 #43
    It is very well explained except the paragraph
    "We will not delve into definitions of energy in general relativity such as the hamiltonian (amusingly, the energy of a closed universe always works out to zero according to this definition), various kinds of energy one hopes to obtain by "deparametrizing" Einstein's equations, or "quasilocal energy". There's quite a bit to say about this sort of thing! Indeed, the issue of energy in general relativity has a lot to do with the notorious "problem of time" in quantum gravity... but that's another can of worms."
     
  4. Dec 28, 2017 #44
    (Already shared these references in a conversation with Torg yesterday - they may be useful to others too)

    Take a look at this thread:
    https://www.physicsforums.com/threads/book-on-general-relativity.874853/

    Tensor calculus is generally part of differential geometry. Spivak's book is the one I was trying to recall. Try a google search for:
    Spivak, "Comprehensive Introduction to Differential Geometry"

    For tensors: J.L. Synge, A. Schild, Tensor Calculus (e.g. Dover publ.)
    (Traditional)

    See also
    https://www.physicsforums.com/threads/book-recommendations-in-differential-geometry.917075/

    And
    https://www.physicsforums.com/threads/differential-geometry-book-with-tensor-calculus.880156/

    Or
    https://www.physicsforums.com/threads/a-good-book-on-tensors.914341/

    I hope that helps.
     
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