Spherically symmetric solutions of Einstein + non-polynomial gravities
نویسندگان
چکیده
منابع مشابه
Spherically symmetric solutions of Einstein + non-polynomial gravities
We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the or...
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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-singu...
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This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions. There are several approaches to prove that Einstein-Dirac systems do not admit static, spherically symmetric solutions. The first paper in this direction is [2], where it is shown that the Dirac equation has no normalizable, time-periodic solutions in the ReissnerNord...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2007
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-007-0508-1