论文标题

在具有两个因子空间的稳定指数宇宙学解决方案上,$(1+ m + 2)$ - 尺寸EGB模型,$λ$ - term

On stable exponential cosmological solutions with two factor spaces in $(1+ m + 2)$-dimensional EGB model with $Λ$-term

论文作者

Ivashchuk, V. D., Kobtsev, A. A.

论文摘要

$(M+ 3)$ - 尺寸爱因斯坦 - 加斯 - 邦网重力模型,包括高斯式术语和宇宙学$λ$。具有两个比例因素的指数时间依赖性的精确解决方案,由两个类似Hubble的参数$ H> 0 $和$ H \ neq H $,分别与尺寸的因子空间$ m> 2 $和$ L = 2 $相对应。在对$ x = h/h $的某些限制下,证明了解决方案中解决方案的稳定性。考虑了有效重力常数$ g $足够小的解决方案的子类,并显示了该子类的所有溶液的稳定性。

A $(m+ 3)$-dimensional Einstein-Gauss-Bonnet gravitational model including the Gauss-Bonnet term and the cosmological term $Λ$ is considered. Exact solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters $H >0$ and $h \neq H$, corresponding to factor spaces of dimensions $m >2$ and $l = 2$, respectively, are found. Under certain restrictions on $x = h/H $, the stability of the solutions in a class of cosmological solutions with diagonal metrics is proved. A subclass of solutions with small enough variation of the effective gravitational constant $G$ is considered and the stability of all solutions from this subclass is shown.

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