论文标题
在一般相对论中生成用于带电恒星模型的解决方案
Generating solutions for charged stellar models in general relativity
论文作者
论文摘要
结果表明，爱因斯坦 - 麦克斯韦方程中的切向压力，各向异性因子和径向压力的表达可能是为带电恒星模型的生成函数。当还使用能量密度的表达式时，后者可以结合状态。其他生成功能基于存在保形运动的条件（尤其是共形平坦度），以及嵌入一级指标的Karmarkar条件，而不是依赖电荷。在所有这些情况下，方程是一个公制组件之一的线性一阶微分方程，而另一个方程是另一个方程。后者可以始终转化为二阶均匀线性微分方程。这些结论是通过带电恒星模型的研究中的许多特定示例来说明的。
It is shown that the expressions for the tangential pressure, the anisotropy factor and the radial pressure in the Einstein - Maxwell equations may serve as generating functions for charged stellar models. The latter can incorporate an equation of state when the expression for the energy density is also used. Other generating functions are based on the condition for the existence of conformal motion (conformal flatness in particular) and the Karmarkar condition for embedding class one metrics, which do not depend on charge. In all these cases the equations are linear first order differential equations for one of the metric components and Riccati equations for the other. The latter may be always transformed into second order homogenous linear differential equations. These conclusions are illustrated by numerous particular examples from the study of charged stellar models.
