标题： 星系团在扩展的$f(χ)=χ^{3/2}$引力下的动力学 显示英文标题

标题： Dynamics of clusters of galaxies with extended $f(χ)=χ^{3/2}$ gravity

摘要： 本文给出了由贝纳尔等（2011）和门多萨等（2013）发展的引力度规理论的四阶微扰分析结果，记作$f(\chi)=\chi^{3/2}$。该理论详细考虑了来自12个钱德拉X射线星系团观测的质量，无需引入暗物质。动力学观测可以通过引力度规理论的度规系数，直至 v/c 扰动的四阶近似来获得。在此意义上，我们计算了该理论的第一个相对论修正，这对于星系团外部区域的观测是相关的，目的是重现观测结果。 显示英文摘要

摘要： In this article we present the results of the fourth order perturbation analysis of the gravitational metric theory of gravity $f(\chi)=\chi^{3/2}$, developed by Bernal et al. (2011) and Mendoza et al. (2013). The theory accounts in detail for the mass from the observations of 12 Chandra X-ray clusters of galaxies, without the need of dark matter. The dynamical observations can be obtained in terms of the metric coefficients of the metric theory of gravity up to the fourth order of approximation, in perturbations of v/c. In this sense, we calculate the first relativistic correction of the theory, which is relevant at the outer regions of clusters of galaxies, in order to reproduce the observations.