荷电柱状天体外部度规的计算

TO CALCULATE THE EXTERNAL METRIC OF A CYLINDRICAL CELESTIAL BODY WITH CHARGE

本文从静态轴对称度规的一般表达式ds^2=-e^(2u)(dx^0)~2+e^(-2u)[e^(2k)(dx^1)~2+e^(2k)(dx^2)~2+ρ~2(dx^3)~2]出发,结合Einstein-Maxwell方程组,应用渐近平直条件求出弯曲空间中的静电场,解出了荷电柱状天体(静态)外部度规的四级近似解。

In this paper,we start from the most general axisymmetric,static line elementds^2=—e^(Zu)(dx^0)~2+e^(-Zu)[e^(Zk)(dx^1)~2+e^(2k)(dx^2)~2+p^Z(dx^3)~Z],and solve the sta-tic electric field in the presence of gravitation using the condition of asympt-otic flat.Then we solve the Einstein-Maxwell equations,and obtain the soluti-on of the external metric for a charged cylindrical celestrial body up to four degreeapproximation.