DOI: 10.1063/5.0172291 ISSN: 0022-2488
A spinorial quasilocal mass
John Lott- Mathematical Physics
- Statistical and Nonlinear Physics
We define a quasilocal energy of a compact manifold-with-boundary, relative to a background manifold. The construction uses spinors on one manifold and the pullback of dual spinors from the other manifold. We prove positivity results for the quasilocal energy, in both the Riemannian and Lorentzian settings.