论文标题
几乎共同平坦度量〜空间的球形对称重力解
A spherically symmetric gravitational solution of nearly conformally flat metric~measure~space
论文作者
论文摘要
在本手稿中，我们研究了公制测量空间（MMS）中形式不变的引力理论的几乎平坦的近似。此外，我们在这种情况下研究了能量量张量的转换，并获得了MMS的真空溶液及其在球形对称坐标中的弱场极限。我们表明，尽管它已经是一种真空解决方案，但它可以模拟深色物质，仅限于一般相对论的框架，即对对称性的保形框架。这是通过采用密度函数来完成的，这是MMS的重要组成部分。我们得出了从观测值获得的旋转曲线的一般曲线的密度函数的方程。具体而言，提供了对应于两个众所周知的PSS和NFW的密度函数。
In this manuscript, we study the nearly flat approximation of a conformally invariant gravitational theory in metric measure space (MMS). In addition, we investigate the transformation of the energy-momentum tensor in this context and obtain the vacuum solution of MMS and its weak field limit in the spherically symmetric coordinates. We show that while it is already a vacuum solution, it can simulate dark matter when restricted to the framework of general relativity, i.e., a symmetry-broken conformal frame. This is done by employing a density function which is an essential part of MMS. We derive an equation for the density function for a general profile of a rotation curve obtained from observations. Specifically, the density function corresponding to two well-known profiles PSS and NFW are provided.
