共形带电尘埃厚盘的精确相对论模型
Exact relativistic models of conformastatic charged dust thick disks
摘要：
我们构建一个特定的构象静态时空的相对论模型的带电尘埃厚磁盘通过Miyamoto-Nagai转换在牛顿引力模型盘状星系。考虑了基于极端Reissner-Nordström黑洞场和Morgan-Morgan类度规的两类简单厚盘模型和一类厚环形盘模型.分析了测试粒子绕结构的电测地线运动。此外，对径向扰动的粒子的稳定性进行了研究，使用的Rayleigh准则在静止的流体在引力场的稳定性的扩展。所建立的模型满足所有的能量条件。
英文摘要：
We construct relativistic models of charged dust thick disks for a particular conformastatic spacetime through a Miyamoto-Nagai transformation used in Newtonian gravity to model disk like galaxies. Two simple families of thick disk models and a family of thick annular disks based on the field of an extreme Reissner-Nordström black hole and a Morgan-Morgan-like metric are considered. The electrogeodesic motion of test particles around the structures are analyzed. Also the stability of the particles against radial perturbation is studied using an extension of the Rayleigh criteria of stability of a fluid in rest in a gravitational field. The models built satisfy all the energy conditions.
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