Radiation field for Einstein vacuum equations with spacial dimension $n\geq 4$

Understand

In this paper, the radiation field is defined for solutions to Einstein vacuum equations which are close to Minkowski space-time with spacial dimension $n\geq 4$.

• The regularity properties and asymptotic behavior of those Einstein vacuum solutions are established at the same time.
• In particular, the map from Cauchy intial data to the radiation field is proved to be an isomorphism when restricting to a small neighborhood of Minkowski data in suitable weighted b-Sobolev spaces.