Stability of the Minkowski spacetime in Newman-Unti gauge
I will present a new proof of the stability of Minkowski spacetime in the center-normalized Newman-Unti gauge. This gauge choice is geometrically simple, constructed by fixing a central timelike geodesic and considering the outgoing null cones emanating from it.
Despite not being future normalized, this gauge is well-suited for capturing precise global asymptotics: Specifically, our new stability proof yields Bondi-Sachs peeling (with an arbitrarily small loss) for a general class of asymptotically flat initial data, extending previous results by Klainerman-Nicolò, Chruściel-Delay, and Corvino that were restricted to more specialized data classes.
Also, I will discuss the expected late-time tail behavior in this gauge and how it is driven by the nonstationarity and nonlinearity of the problem. This talk is based on joint work with Jonathan Luk and Claude Warnick.

