Painlevé -gullstrand Coordinates for the Kerr Solution

  title={Painlev{\'e} -gullstrand Coordinates for the Kerr Solution},
  author={Jos{\'e} Nat´ario}
  • José Nat´ario
We construct a coordinate system for the Kerr solution, based on the zero angular momentum observers dropped from infinity, which generalizes the Painlevé-Gullstrand coordinate system for the Schwarzschild solution. The Kerr metric can then be interpreted as describing space flowing on a (curved) Riemannian 3-manifold. The stationary limit arises as the set of points on this manifold where the speed of the flow equals the speed of light, and the horizons as the set of points where the radial… CONTINUE READING


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