G. Rein et Ad. Rendall, SMOOTH STATIC SOLUTIONS OF THE SPHERICALLY SYMMETRICAL VLASOV-EINSTEIN SYSTEM, Annales de l'I.H.P. Physique theorique, 59(4), 1993, pp. 383-397
We consider the Vlasov-Einstein system in a spherically symmetric sett
ing and prove the existence of globally defined, smooth, static soluti
ons with isotropic pressure which are asymptotically flat and have a r
egular center, finite total mass and finite extension of the matter.