扩展变换群：恒星模型、暗物质晕和太阳系动力学
Enlarged Transformation Group: Star Models,Dark Matter Halos and Solar System Dynamics
摘要：
以前已经提出了一个理论，它通过一个扩大的变换群的正交四元组的领域来扩展一个真正的四维时空的几何结构。这个新的变换群，称为守恒群，包含群的非同态作为一个适当的子群，我们假设它是量子几何的基础群。新几何的基本几何对象是曲率向量C^μ。利用标量拉格朗日密度C^μC_μ \sqrt{-g}，得到了在守恒群下不变的自由场的场方程.在本文中，这一理论是进一步扩展的发展一个合适的拉格朗日场源。给出了自由场和含源场的球对称解。恒星模型和外部，自由场模型的开发。该理论暗示外部应力-能量张量具有非紧支撑，因此可以给出暗物质的几何基础。所得到的模型进行比较的内部和外部史瓦西模型。该理论可以解释先锋异常和日冕加热问题。
英文摘要：
Previously a theory has been presented which extends the geometrical structure of a real four-dimensional space-time via a field of orthonormal tetrads with an enlarged transformation group. This new transformation group, called the conservation group, contains the group of diffeomorphisms as a proper subgroup and we hypothesize that it is the foundational group for quantum geometry. The fundamental geometric object of the new geometry is the curvature vector, C^μ. Using the scalar Lagrangian density C^μC_μ\sqrt{-g}, field equations for the free field have been obtained which are invariant under the conservation group. In this paper, this theory is further extended by development of a suitable Lagrangian for a field with sources. Spherically symmetric solutions for both the free field and the field with sources are given. A stellar model and an external, free-field model are developed. The theory implies that the external stress-energy tensor has non-compact support and hence may give the geometrical foundation for dark matter. The resulting models are compared to the internal and external Schwarzschild models. The theory may explain the Pioneer anomaly and the corona heating problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
