Finslerian MOND与Bullet Cluster 1 E0657 -558的观察结果
Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
摘要：
球对称的MOND理论不能解释子弹星系团1 E0657 -558的会聚$κ$ -映射。在本文中，我们试图建立一个Finsler MOND，一个推广的MOND Finsler时空。利用$Ric=0$得到了四维Finsler时空中的引力真空场方程。在后牛顿近似下，我们得到了Finslerian线元的显式形式。除了径向坐标$r$的芬斯勒重新标度系数$f(v)$（即$R=f(v(r))r$）之外，它只是史瓦西度规。通过设置$f(v(r))=(1-\sqrt{a_0r^2/GM})^{-1}$，我们得到了著名的MOND在芬斯勒框架。在考虑偶极项和四极项的情况下，给出了引力透镜天体物理中的收敛性$κ$。数值分析表明，我们的预测与子弹星系团1 E0657 -558的观测结果有一定的一致性。当理论温度$T$取观测值14.8 keV时，我们模型得到的主团簇质量密度分布与最佳拟合King $β$模型给出的质量密度分布具有相同的量级.
英文摘要：
It is known that theory of MOND with spherical symmetry cannot account for the convergence $κ$-map of Bullet Cluster 1E0657-558. In this paper, we try to set up a Finslerian MOND, a generalization of MOND in Finsler spacetime. We use $Ric=0$ to obtain the gravitational vacuum field equation in a four-dimensional Finsler spacetime. To leading order in the post-Newtonian approximation, we obtain the explicit form of the Finslerian line element. It is simply the Schwarzschild's metric except for the Finslerian rescaling coefficient $f(v)$ of the radial coordinate $r$, i.e. $R=f(v(r))r$. By setting $f(v(r))=(1-\sqrt{a_0r^2/GM})^{-1}$, we obtain the famous MOND in a Finslerian framework. Taking a dipole and a quadrupole term into consideration, we give the convergence $κ$ in gravitational lensing astrophysics in our model. Numerical analysis shows that our prediction is to a certain extent in agreement with the observations of Bullet Cluster 1E0657-558. With the theoretical temperature $T$ taking the observed value 14.8 keV, the mass density profile of the main cluster obtained in our model is the same order as that given by the best-fit King $β$-model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
