Stability of the Minkowski space for the Einstein-Klein-Gordon system

Stability of the Minkowski space for the Einstein-Klein-Gordon system

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Benoit Pausader, Brown University
Fine Hall 314

We consider small perturbations of the (empty) Minkowski space and prove that they lead to global solutions which converge back to the Minkowski space and give a description of the asymptotic behavior of the system. A similar result was already obtained by LeFloch-Ma. Here we allow initial data which do not necessarily decay as 1/r for large distance. This is Joint work with A. Ionescu.