Future asymptotic behavior of three-dimensional spacetimes with massive particles
- Author(s)
- David Fajman
- Abstract
We consider non-vacuum initial data for the three-dimensional Einstein equations coupled to Vlasov matter composed of massive particles, on an arbitrary compact Cauchy hypersurface without boundary. We show that conservation of the total mass implies future completeness of the corresponding maximal development in the isotropic case, independent of the topology. This behavior is fundamentally different from the vacuum case and also from the same model in higher dimensions. In particular, we find that a positive mass of particles in three dimensions avoids recollapse of the spatial geometry. Finally, we construct similar solutions for the Einstein-dust system and describe to what extent the construction fails for massless matter models.
- Organisation(s)
- Gravitational Physics
- Journal
- Classical and Quantum Gravity
- Volume
- 33
- No. of pages
- 9
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/33/11/11LT01
- Publication date
- 06-2016
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103034 Particle physics, 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/future-asymptotic-behavior-of-threedimensional-spacetimes-with-massive-particles(5170f009-e7f1-42b6-955a-ce2aaa7c27cb).html