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Ernst equation

  1. Apr 26, 2010 #1
    I look for derivation of Ernst equation - an equation for complex function which is
    equivalent to Einstein equation in case of metric with two commuting killing vectors.
    I know this equation but I wonder how it may be derived. I also heard that teher is
    a simple procedure which allow to construct many solution of this equation using only
    one. Does anyone know how it works?
     
  2. jcsd
  3. Apr 26, 2010 #2

    George Jones

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    It may be a little too brief, but this stuff is covered in Chapter 13, Stationary axially symmetric space-times, from the recent book Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths and Jiri Podolsky.
     
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