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I Deducing the tensorial structure of a tensor

  1. Feb 20, 2017 #1
    Consider an expression of the following form:

    $$I^{\mu\nu}(r) = \int d^{3}k\ \ d^{3}l\ \ \delta^{4}(r-k-l)\ (g^{\mu\nu}k\cdot{l}+k^{\nu}k^{\mu}-k^{\mu}l^{\nu})$$

    ##I^{\mu\nu}## must be of the form

    $$I^{\mu\nu}(r) = Ar^{\mu}r^{\nu} + B\eta^{\mu\nu},$$

    where ##A## and ##B## are constants.

    How can you determine this tensorial form of ##I^{\mu\nu}##?
     
    Last edited: Feb 20, 2017
  2. jcsd
  3. Feb 25, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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