标题： 带有电荷的静态恒星模型作为振荡器 显示英文标题

标题： Interior Static Stellar Model with Electric Charge as an Oscillator

摘要： 研究了在广义相对论框架下充满带电Pascal完美流体的静态恒星的一种模型方法。度规被写成Bondi辐射坐标形式。引力方程在变换为径向坐标的函数后被简化为一个非线性振子方程。结果表明，在这种情况下，对于带电流体的具体能量密度分布规律，可以得到爱因斯坦-麦克斯韦方程的精确解，即作为谐振子方程的解。 显示英文摘要

摘要： A model approach to the description of static stars filled with a charged Pascal perfect fluid within the framework of general relativity is investigated. The metric is written in Bondi's radiation coordinates. The gravitational equations are reduced to a nonlinear oscillator equation after transfomation to a new variable as a function of the radial coordinate. It is shown that in this case exact solutions of the Einstein-Maxwell equations for a concrete energy density distribution law of the charged fluid may be obtained as solution of the harmonic oscillator equation.