A Positive Mass Theorem for Static Causal Fermion Systems
Mathematical Physics
2023-10-13 v3 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.1912.12995,
title = {A Positive Mass Theorem for Static Causal Fermion Systems},
author = {Felix Finster and Andreas Platzer},
journal= {arXiv preprint arXiv:1912.12995},
year = {2023}
}
Comments
57 pages, LaTeX, 3 figures, sign errors in (6.5) and (6.9) corrected, footnote on page 43 added