A scattering theory construction of dynamical vacuum black holes

@inproceedings{Dafermos2013AST,
  title={A scattering theory construction of dynamical vacuum black holes},
  author={Mihalis Dafermos and Gustav H. Holzegel and Igor Rodnianski},
  year={2013}
}
We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the Einstein vacuum equations with characteristic data prescribed on the event horizon and (in the limit) at null infinity. The class admits the full "functional" degrees of freedom for the vacuum equations, and thus our solutions will in general possess no… CONTINUE READING

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