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Maximally symmetric subspaces

  1. Feb 16, 2007 #1

    Ray

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    "Is it possible to derive the Schwarzschild metric from Killing vectors, thus saving all that work with the Ricci tensor etc."
     
  2. jcsd
  3. Mar 1, 2007 #2
    Given Killing vectors may not determine the metric uniquely. For example, in a specific static case with three Killing vectors on S^2 one still needs the weak field limit imposed on it to recover the metric precisely.

    cf Chapt. 7 of
    http://pancake.uchicago.edu/~carroll/notes/
     
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