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Black hole solutions

  1. Jul 19, 2013 #1
    hi
    if you want to find the black hole solutions, what do you do?
    has any solutions of $R_\alpha\beta=0$ a black hole?

    thanks
     
  2. jcsd
  3. Jul 19, 2013 #2

    Nugatory

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    Google for "Schwarzchild Solution" and "Schwarzchild Radius".
     
  4. Jul 19, 2013 #3

    George Jones

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    Uncharged spherical (Schwarzschild) and rotating (Kerr) black holes are vacuum solutions, i.e., have $$R_{\alpha\beta} = 0.$$
     
  5. Jul 19, 2013 #4

    WannabeNewton

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    As stated above, there are black hole solutions which solve the vacuum Einstein equations but the converse, as you have stated it, is clearly not true (a vacuum solution need not be a black hole solution). Just take the trivial solution (Minkowski space-time) as a counterexample.
     
  6. Jul 19, 2013 #5

    George Jones

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    And there are black hole solutions that are not vacuum solutions, e.g., Reissner-Nordstrom and Kerr-Newman black holes (these are electrovac solutions).
     
  7. Jul 20, 2013 #6
    thanks
    how you can recognize a metric is a black hole or not?
    or how you can find black hole solution?
    at first you find vacuum solution of Einstein equations?
    and then?
     
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