论文标题

量规场引起的扭转和宇宙通胀

Gauge-Field-Induced Torsion and Cosmic Inflation

论文作者

Kasem, Ammar, Khalil, Shaaban

论文摘要

重新审视了爱因斯坦 - 卡丹理论框架中的通货膨胀。爱因斯坦 - 卡丹理论是一般相对论的自然延伸,并具有非逐渐扭曲的扭转。 Riemann-Cartan时空上的连接仅与特定形式的扭转形式的宇宙学主兼容。我们表明,这种形式也与在某些dewed dewed的最小耦合程序下的非阿贝尔和阿贝尔量规场的规格不变性原理兼容。我们以“宇宙三合会”的形式采用一个阿贝尔仪表领域。获得动态场方程并证明可维持大量电子折叠的宇宙通胀。我们强调,在通货膨胀结束时,扭转消失,爱因斯坦 - 卡丹的理论降低了与通常的FRW几何形状的一般相对论。

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.

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