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Alcubierre metric and General Relativity

  1. Jun 18, 2012 #1

    Alcubierre metric:
    [tex]ds^2 = \left( v_s(t)^2 f(r_s(t))^2 -1 \right) \; dt^2 - 2v_s(t)f(r_s(t)) \; dx \; dt + dx^2 + dy^2 + dz^2[/tex]
    What formal conditions are required to verify a valid metric solution of the Einstein field equations?

    How many possible valid metric solutions are there in General Relativity?

    Reference:
    Alcubierre metric - Wikipedia
     
    Last edited: Jun 18, 2012
  2. jcsd
  3. Jun 18, 2012 #2

    haushofer

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    Science Advisor

    Plug your ansatz in Mathematica and see what the constraints on your parameters are.
     
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