论文标题
泊松方程的紧张解决方案以及UGC 8490和UGC 9753的暗物质量和分布
Tensorial solution of the Poisson equation and the dark matter amount and distribution of UGC 8490 and UGC 9753
论文作者
论文摘要
在本文的第一部分中，我们扩展了该方法的三个基本方面，这些方面与确定空间密度之间的关系和重力潜力之间的关系有关，可以专门针对不同的质量密度聚集。结果，我们获得了无零的方形对称矩阵的对角线条目的一般关系，我们提供了适合表示几种不同的质量密度构型的引力电位的表达，并且我们确定三方球形球形质量分布的半轴关系，作为球体质量密度密度，体积密度和距离的功能。在本手稿的第二部分中，我们采用了第一部分中开发的工具，分析了UGC 8490和UGC 9753的暗物质光环的质量密度和全球结构，并通过两个星系的暗物质旋转曲线的拟合，假设三方粒子黑物质质量构型。 We employ the Navarro Frenk and White, Burkert, DiCintio, Einasto and Stadel dark matter models, and we obtain that both a cored Burkert and cuspy DiCintio and Navarro Frenk and White inward dark matter distributions could represent equally well the observed data, furthermore we determine an oblate spheroidal dark matter mass density configuration for UGC 8490 and UGC 9753. The latter outcome通过对相应的重子分量的每个分析星系的暗物质光环施加的引力扭矩的估计来证实。
In the first part of this article we expand three fundamental aspects of the methodology connected to the determination of a relation among the spatial density and the gravitational potential that can be specialised to distinct mass density agglomerations. As a consequence, we obtain general relations for the diagonal entries of a square symmetric matrix without zeros, we provide an expression of the gravitational potential, suitable, to represent several different mass density configurations, and we determine relations for the semi-axes of a triaxial spheroidal mass distribution, as a function of the spheroid mass density, volume density and radius. In the second part of this manuscript, we employ the tools developed in the first part, to analyse the mass density content and the inner and global structure of the dark matter haloes of UGC 8490 and UGC 9753, through the fits to the dark matter rotation curves of the two galaxies, assuming a triaxial spheroidal dark matter mass configuration. We employ the Navarro Frenk and White, Burkert, DiCintio, Einasto and Stadel dark matter models, and we obtain that both a cored Burkert and cuspy DiCintio and Navarro Frenk and White inward dark matter distributions could represent equally well the observed data, furthermore we determine an oblate spheroidal dark matter mass density configuration for UGC 8490 and UGC 9753. The latter outcome is confirmed by the estimation of the gravitational torques exerted by the dark matter halo of each analysed galaxy, on the corresponding baryonic components.
