STATIC SOLUTIONS OF THE SPHERICALLY SYMMETRICAL VLASOV-EINSTEIN SYSTEM

Authors
REIN G
Citation
G. Rein, STATIC SOLUTIONS OF THE SPHERICALLY SYMMETRICAL VLASOV-EINSTEIN SYSTEM, Mathematical proceedings of the Cambridge Philosophical Society, 115, 1994, pp. 559-570
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
115
Year of publication
1994
Part
3
Pages
559 - 570
Database
ISI
SICI code
0305-0041(1994)115:<559:SSOTSS>2.0.ZU;2-1
Abstract
We consider the Vlasov Einstein system in a spherically symmetric sett ing and prove the existence of static solutions which are asymptotical ly flat and have finite total mass and finite extension of the matter. Among these there are smooth. singularity-free solutions, which have a regular centre and have isotropic or anisotropic pressure, and solut ions which have a Schwarzschild-singularity at the centre.