论文标题
暗物质内部的黑洞和星系的旋转曲线
A Black Hole inside Dark Matter and the Rotation Curves of Galaxies
论文作者
论文摘要
在本文中，我们发现了一个浸入深色物质的大型黑洞的四维度量。具体而言，我们寻找并找到了爱因斯坦方程的静态球形对称黑洞解决方案，该解决方程在牛顿限制的情况下为星系的旋转曲线提供了，包括平坦区域和Baryonic Tully-fisher关系，并具有正常的地平线。我们还获得了深色物质的能量量张量，从而在特殊的情况下旋转，以满足地平线以外的四个能量条件（主要，弱，弱，零和强）。这个黑洞漆系统代表了一个成功的星系简化模型，为探索暗物质的相对论方案打开了一个新领域，并表明一般相对论与暗物质的理论可以解释星系的旋转曲线。
In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian limit, the rotation curves of galaxies, including the flat region and the Baryonic Tully-Fisher relation, and which has a regular horizon. We obtain as well the energy-momentum tensor of the dark matter sourcing this space-time and it turns, in special, to satisfy the four energy conditions (dominant, weak, null, and strong) everywhere outside the horizon. This black-hole-dark-matter system represents a successful simplified model for galaxies, opens a new area for exploring the relativistic regime of dark matter, and shows that the theory of General Relativity together with dark matter can account for the rotation curves of galaxies.
