后牛顿近似下旋转椭球体的内外度规

Post-Newton Metric Inside and Outside a Rotating Oblate Ellipsoid

在后牛顿近似下,得到由均匀不可压缩理想流体在刚体自转下形成的扁球体的内外度规．对由后牛顿效应产生的度规分量利用椭球坐标系及级数展开求得解析解．对这一具体问题,在级数展开中仅存若干项,因此结果有可能用于这一度规下粒子运动的研究．

Post-Newton metric was got inside and outside a uniform uncompressed ideal fluid oblate ellipsoid at rigid rotation.Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system.There are only finite terms in series in this problem,so results can be used to study particle movement near the ellipsoid.