Global Existence for the Einstein Vacuum Equations in Wave Coordinates

@article{Lindblad2005GlobalEF,
  title={Global Existence for the Einstein Vacuum Equations in Wave Coordinates},
  author={Hans Lindblad and Igor Rodnianski},
  journal={Communications in Mathematical Physics},
  year={2005},
  volume={256},
  pages={43-110}
}
  • Hans Lindblad, Igor Rodnianski
  • Published 2005
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • We prove global stability of Minkowski space for the Einstein vacuum equations in harmonic (wave) coordinate gauge for the set of restricted data coinciding with the Schwarzschild solution in the neighborhood of space-like infinity. The result contradicts previous beliefs that wave coordinates are “unstable in the large” and provides an alternative approach to the stability problem originally solved ( for unrestricted data, in a different gauge and with a precise description of the asymptotic… CONTINUE READING

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