Static solutions of the spherically symmetric Vlasov-Einstein system
نویسنده
چکیده
We consider the Vlasov-Einstein system in a spherically symmetric setting and prove the existence of static solutions which are asymptotically flat and have finite total mass and finite extension of the matter. Among these there are smooth, singularity-free solutions, which have a regular center and may have isotropic or anisotropic pressure, and also solutions, which have a Schwarzschild-singularity at the center. The paper is an extension of previous work, where only smooth, globally defined solutions with regular center and isotropic pressure were considered, cf. [8]
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تاریخ انتشار 2005