Extensions of spacetime Bartnik data and estimates for the Bartnik mass outside of time-symmetry

Stephen McCormick, Markus Wolff

Bartnik's quasi-local mass is a functional on Bartnik data $({\mathbb{S}}^2,\gamma ,H,P,{\omega }^{\perp })$, consisting of a metric $\gamma$, scalar functions $H$ and $P$, and a 1-form ${\omega }^{\perp }$ on the $2…