A Positive Mass Theorem for Static Causal Fermion Systems
arXiv:1912.12995 · doi:10.4310/ATMP.2021.v25.n7.a3
Abstract
Asymptotically flat static causal fermion systems are introduced. Their total mass is defined as a limit of surface layer integrals which compare the measures describing the asymptotically flat spacetime and a vacuum spacetime near spatial infinity. Our definition does not involve any regularity assumptions; it even applies to singular or generalized "quantum" spacetimes. A positive mass theorem is proven. Our methods and results explain why and how the causal action principle incorporates the nonlinear effects of gravity for static systems.
arXiv comment57 pages, LaTeX, 3 figures, sign errors in (6.5) and (6.9) corrected, footnote on page 43 added
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