arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.00943gr-qcastro-ph.COhep-th
收藏

非最小耦合常数与原始de Sitter态

The non-minimal coupling constant and the primordial de Sitter state

Orest Hrycyna

摘要:

利用动力系统方法研究了具有非最小耦合标量场和势函数的平坦Friedmann-Robertson-Walker宇宙模型的动力学行为。通过分析,区分了非最小耦合常数参数$ξ=\frac{3}{16}$的值,即五维引力理论中的共形耦合。证明了在标量场的无穷大值处的单式势函数存在类属de Sitter态和Einstein-de Sitter态。德西特态相对于宇宙的膨胀是不稳定的,因为势函数的变化速度不超过线性。这导致了没有初始奇点的一般宇宙学演化。

英文摘要:

Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential function. Performed analysis distinguishes the value of non-minimal coupling constant parameter $ξ=\frac{3}{16}$, which is the conformal coupling in five dimensional theory of gravity. It is shown that for a monomial potential functions at infinite values of the scalar field there exist generic de Sitter and Einstein-de Sitter states. The de Sitter state is unstable with respect to expansion of the Universe for potential functions which do not change faster than linearly. This leads to a generic cosmological evolution without the initial singularity.

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。

↑