Cosmology of a Polynomial Model for de Sitter Gauge Theory Sourced by a Fluid
Cosmology of a Polynomial Model for de Sitter Gauge Theory Sourced by a Fluid
复制标题
流体源德西特规范理论多项式模型的宇宙学
作者：
Jia
在德西特规范理论 (DGT) 中，基本变量是德西特 (dS) 连接和希格斯/戈德斯通引力场 ΥA，其中 A 是 5 维指数。之前，分析了 DGT 模型，该模型将 MacDowell-Mansouri 引力推广为可变宇宙学常数 Λ=3/l2，其中 l 与 ΛA 的关系为 ΛΛΞ=l2。结果表明，完美流体模型不支持辐射历元和宇称不变宇宙的加速膨胀。在本文中，我考虑了一个类似的模型，即 Stelle-West 引力，并将其与修正的完美流体耦合，使得总的拉格朗日 4-形式在引力变量中是多项式。修改后的流体的拉格朗日关于l具有非平凡的变分导数，因此，先前研究中遇到的问题不再出现。此外，为了探索一般理论的优雅性，并写下基本框架，我对源自物质场的 DGT 进行了拉格朗日-诺特分析，产生了场方程和关于系统对称性的恒等式。得到的公式是 dS 协变的，并且不依赖于度量域的存在。
In the de Sitter gauge theory (DGT), the fundamental variables are the de Sitter (dS) connection and the gravitational Higgs/Goldstone field ξA, where A is a 5 dimensional index. Previously, a model for DGT was analyzed, which generalizes the MacDowell–Mansouri gravity to have a variable cosmological constant, Λ=3/l2, where l is related to ξA by ξAξA=l2. It was shown that the model sourced by a perfect fluid does not support a radiation epoch and the accelerated expansion of the parity invariant universe. In this paper, I consider a similar model, namely, the Stelle–West gravity, and couple it to a modified perfect fluid, such that the total Lagrangian 4-form is polynomial in the gravitational variables. The Lagrangian of the modified fluid has a nontrivial variational derivative with respect to l, and as a result, the problems encountered in the previous study no longer appear. Moreover, to explore the elegance of the general theory, as well as to write down the basic framework, I perform the Lagrange–Noether analysis for DGT sourced by a matter field, yielding the field equations and the identities with respect to the symmetries of the system. The resulted formula are dS covariant and do not rely on the existence of the metric field.
宇宙中的超新星
DOI：
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发表时间：
2006
期刊：
影响因子：
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作者：
Kohsuke Sumiyoshi;Shigehiro Nagataki;山田章一;Shoichi Yamada;Shoichi Yamada;Shoichi Yamada;山田章一;Shoichi Yamada
通讯作者：
Shoichi Yamada