• Corpus ID: 18810792

On a wave map equation arising in general relativity

  title={On a wave map equation arising in general relativity},
  author={Hans Ringstrom},
We consider a class of space-times for which the essential part of Einstein’s equations can be written as a wave map equation. The domain is not the standard one, but the target is hyperbolic space. One ends up with a 1+1 nonlinear wave equation, where the space variable belongs to the circle and the time variable belongs to the positive real numbers. The main objective of this paper is to analyze the asymptotics of solutions to these equations as t → ∞. For each point in time, the solution… 

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