Geometric sigma model of the Universe

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doi:10.1088/1674-1137/41/5/055102

Chinese Physics C> 2017, Vol. 41> Issue(5) : 055102 DOI: 10.1088/1674-1137/41/5/055102

Geometric sigma model of the Universe

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Abstract：
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 have 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.
- cosmological models

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null. Geometric sigma model of the Universe[J]. Chinese Physics C, 2017, 41(5): 055102. doi: 10.1088/1674-1137/41/5/055102

null. Geometric sigma model of the Universe[J]. Chinese Physics C, 2017, 41(5): 055102. doi: 10.1088/1674-1137/41/5/055102 shu

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Received: 2016-12-08
Revised: 2017-01-15

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Supported by Serbian Ministry of Education, Science and Technological Development (171031)

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Geometric sigma model of the Universe

Received Date: 2016-12-08

Accepted Date: 2017-01-15

Available Online: 2017-05-05

Fund Project: Supported by Serbian Ministry of Education, Science and Technological Development (171031)

Abstract: 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 have 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.

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Geometric sigma model of the Universe

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