arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.06228hep-thgr-qc
收藏

规范场诱导的挠率与宇宙暴胀

Gauge-Field-Induced Torsion and Cosmic Inflation

Ammar Kasem, Shaaban Khalil

摘要:

在爱因斯坦-嘉当理论的框架下重新讨论暴胀。爱因斯坦-嘉当理论是广义相对论的自然推广,具有非零挠率。黎曼-嘉当时空上的联系只有在特定形式的挠率下才与宇宙学原理相容。我们证明了在一定的最小耦合程序下,对于非阿贝尔和阿贝尔规范场,这种形式也与规范不变性原理相容。我们采用“宇宙三元组”形式的阿贝尔规范场。动力学场方程的获得和证明,以维持宇宙暴胀与大量的e-折叠。我们强调,在暴胀结束时,挠率消失,爱因斯坦-嘉当理论简化为具有通常FRW几何的广义相对论。

英文摘要:

Inflation in the framework of Einstein-Cartan theory is revisited. Einstein-Cartan theory is a natural extension of the General Relativity, with non-vanishing torsion. The connection on Riemann-Cartan spacetime is only compatible with the cosmological principal for a particular form of torsion. We show this form to also be compatible with gauge invariance principle for a non-Abelian and Abelian gauge fields under a certain deviced minimal coupling procedure. We adopt an Abelian gauge field in the form of "cosmic triad". The dynamical field equations are obtained and shown to sustain cosmic inflation with a large number of e-folds. We emphasize that at the end of inflation, torsion vanishes and the theory of Einstein-Cartan reduces to the General Relativity with the usual FRW geometry.

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。

↑