This paper investigates the closed orbits of the axial symmetric Finslerian extension of a Schwarzschild black hole and finds that a rational Finslerian parameter is necessary for closed orbits.
The axial symmetric Finslerian extension of a Schwarzschild spacetime is a generalization of Schwarzschild spacetime. It will return to Schwarzschild spacetime while the Finslerian parameter epsilon 1/4 0. Closed orbits are an important geometrical subject in mathematics that will help us to understand the physical properties of black holes in a strong gravitational region. The closed orbits of the axial symmetric Finslerian extension of a Schwarzschild black hole have been investigated in this paper. We have found that one necessary condition for the orbits of a Finslerian black hole to be closed is that the Finslerian parameter epsilon be rational. The numerical results of closed orbits of a Finslerian black hole are shown. They confirm our conclusion of the existence conditions of closed orbits.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据