In this paper, we construct dark halo models which are merely supported by geometry of space time. We concentrate on the inhomogeneous space time around some spiral galaxies whose have dark matter. After characterizing the dark halo models, the possibility of the energy density of such a field which could justify the rotation curves of stars in the dark halo is explored.

中文翻译：

---

螺旋星系旋转曲线的几何证明

在本文中，我们构建了仅由时空几何支持的暗晕模型。我们专注于一些具有暗物质的螺旋星系周围的非均匀时空。在对暗晕模型进行表征后，探索了这种场的能量密度可以证明暗晕中恒星自转曲线的可能性。