Variations on Birkhoff's theorem
Abstract
The relation between the expanding universe and local vacuum solutions, such as that for the Solar System, is crucially mediated by Birkhoff’s theorem. Here we consider how that relation works, and give generalizations of Birkhoff’s theorem when there are geometric and matter and perturbations. The issue of to what degree dark matter might influence the solar system emerges as a significant question.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- November 2013
- DOI:
- 10.1007/s10714-013-1568-z
- arXiv:
- arXiv:1304.3253
- Bibcode:
- 2013GReGr..45.2123E
- Keywords:
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- Birkhoff theorem;
- Expansion of universe;
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- Conference proceeding for ERE 2012, submitted to GRG for ERE2012 special issue, based on arXiv:1005.1809, arXiv:1101.4520 and arXiv:1202.0240