额外维空间中的三维球引力场

Gravity of 3-sphere in Extra-dimensions Space

考虑额外维理论中的三维均匀球体的引力场分布问题——在远小于额外维尺度下,引力为4+N维引力.文中首先计算球面的引力,然后计算球体的引力.计算结果表明,球面处以及球体内的引力势是发散的.为此引入截断,给出有限的结果 .最后给出了以上结果的适用条件.

The gravity of 3 - sphere in the extra - dimensions space was obtained. When the radius of the extra - dimensions is smaller then the distance, there is gravity in the 4 ＋ N dimensions space. The gravity of the spherical surface was given and then the gravity of the sphere was also put forward. The potential of gravity is divergence near the sphere. A cutoff of obtaining finite result was introduced. And in the end, the application condition of our result was given as well.