论文标题
静态椭圆形对象的时空线元素
The space-time line element for static ellipsoidal objects
论文作者
论文摘要
在本文中，我们解决了爱因斯坦的场方程，并获得了以线性偏心率（$η$）而不是Quadrupole参数（$ q $）为特征的静态，椭圆形对象的行元素。当$η$为零时，此行元素将恢复Schwarzschild Line Element。除此之外，如果我们忽略了$ r^{ - 2} $的顺序或更高的顺序，则它还减少了Schwarzschild Line Element。此外，由于线性偏心率（$η$）保持了派生线元件的椭圆形特征，这是一个易于测量的参数，因此该线元素可以更适合各种分析和观察性研究。
In this paper, we solved the Einstein's field equation and obtained a line element for static, ellipsoidal objects characterized by the linear eccentricity ($η$) instead of quadrupole parameter ($q$). This line element recovers the Schwarzschild line element when $η$ is zero. In addition to that it also reduces to the Schwarzschild line element, if we neglect terms of the order of $r^{-2}$ or higher which are present within the expressions for metric elements for large distances. Furthermore, as the ellipsoidal character of the derived line element is maintained by the linear eccentricity ($η$), which is an easily measurable parameter, this line element could be more suitable for various analytical as well as observational studies.
