宇宙的几何西格玛模型
Geometric sigma model of the Universe
摘要：
这项工作的目的是证明如何任意选择的宇宙背景可以成为一个简单的几何西格玛模型的解决方案。几何西格玛模型是纯粹的几何理论，其中时空坐标被视为与引力耦合的标量场。虽然它们看起来像普通的西格玛模型，但它们有一个特点，即它们的全部物质含量可以测量出来。剩余的几何理论拥有一个在构建理论的过程中预先定义的背景解。预先指定背景配置的事实是几何西格玛模型的另一个特点。在本文中，我构造几何西格玛模型的基础上不同的背景几何的宇宙。无论背景几何选择，其小扰动的动力学被证明是一个通用的经典稳定性。通过这种方式，任何自由选择的背景度量都可以成为简单模型的稳定解。宇宙的三个特殊模型被认为是在实践中如何做到这一点的例子。
英文摘要：
The purpose of this work is to demonstrate how an arbitrarily chosen background of the Universe can be made a solution of a simple geometric sigma model. Geometric sigma models are purely geometric theories in which spacetime coordinates are seen as scalar fields coupled to gravity. Although they look like ordinary sigma models, they have the peculiarity that their complete matter content can be gauged away. The remaining geometric theory possesses a background solution that is predefined in the process of constructing the theory. The fact that background configuration is specified in advance is another peculiarity of geometric sigma models. In this paper, I construct geometric sigma models based on different background geometries of the Universe. Whatever background geometry is chosen, the dynamics of its small perturbations is shown to posses a generic classical stability. This way, any freely chosen background metric is made a stable solution of a simple model. Three particular models of the Universe are considered as examples of how this is done in practice.
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。
