On the steady states of the spherically symmetric Einstein-Vlasov system
| dc.creator | Andreasson, Hakan | |
| dc.creator | Rein, Gerhard | |
| dc.date | 2006-11-08 | |
| dc.date.accessioned | 2026-07-07T10:21:59Z | |
| dc.date.available | 2026-07-07T10:21:59Z | |
| dc.description | Using both numerical and analytical tools we study various features of static, spherically symmetric solutions of the Einstein-Vlasov system. In particular, we investigate the possible shapes of their mass-energy density and find that they can be multi-peaked, we give numerical evidence and a partial proof for the conjecture that the Buchdahl inequality $\sup_{r > 0} 2 m(r)/r < 8/9$, $m(r)$ the quasi-local mass, holds for all such steady states--both isotropic {\em and} anisotropic--, and we give numerical evidence and a partial proof for the conjecture that for any given microscopic equation of state--both isotropic {\em and} anisotropic--the resulting one-parameter family of static solutions generates a spiral in the radius-mass diagram. | |
| dc.description | 34 pages, 18 figures, LaTex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0611053 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0611053 | |
| dc.identifier | Class.Quant.Grav.24:1809-1832,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/7/008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/175363 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the steady states of the spherically symmetric Einstein-Vlasov system | |
| dc.type | text |