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Ricci tensor equation

  1. Jan 2, 2015 #1
    In Zee's "Einstein's Gravity in a Nutshell" on page 363, while deriving the Schwarzschild solution, we have
    upload_2015-1-3_0-14-7.png

    How does it work? How are the rhs and lhs equal? Where does the factor 2 come from, why just one derivative left?

    thanks for any replies!
     
  2. jcsd
  3. Jan 2, 2015 #2

    Orodruin

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    The solution is assumed independent of the t-coordinate so derivatives wrt that coordinate vanish. The 2 appears because you have the possibilities if sigma and kappa taking values r and t in tha term. This can be done in two ways.
     
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