Birkhoff's Theorem for Quasi-Metric Gravity
General Relativity and Quantum Cosmology
2024-04-02 v3
Abstract
Working within the quasi-metric framework (QMF), it is examined if the gravitational field exterior to an isolated, spherically symmetric body is necessarily metrically static, or equivalently, whether or not Birkhoff's theorem holds for quasi-metric gravity. It is found that it does; however the proof is somewhat different from the general-relativistic case.
Cite
@article{arxiv.1705.11173,
title = {Birkhoff's Theorem for Quasi-Metric Gravity},
author = {Dag Østvang},
journal= {arXiv preprint arXiv:1705.11173},
year = {2024}
}
Comments
10 pages, v2: rewritten with extended theory; v3: inconsistent field equation replaced (method and results unchanged)