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Anisotropic cosmological dynamics in Einstein–Gauss–Bonnet gravity: an example of dynamical compactification in $$7+1$$7+1 dimensions
General Relativity and Gravitation ( IF 2.1 ) Pub Date : 2020-03-31 , DOI: 10.1007/s10714-020-02679-x
Dmitry Chirkov , Alex Giacomini , Alexey Toporensky

We consider a particular example of dynamical compactification of an anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity. Starting from rather general totally anisotropic initial conditions a Universe in question evolves towards a product of two isotropic subspaces. The first subspace expands isotropically, the second represents an "inner" isotropic subspace with stabilized size. The dynamical evolution does not require fine-tuning of initial conditions, though it is possible for a particular range of coupling constants. The corresponding condition have been found analytically and have been confirmed using numerical integration of equations of motion.

中文翻译:

爱因斯坦-高斯-博内引力中的各向异性宇宙动力学:$$7+1$$7+1 维度的动态紧化示例

我们考虑在爱因斯坦 - 高斯 - 邦内引力中各向异性 7+1 维宇宙的动态紧化的一个特殊例子。从相当普遍的完全各向异性初始条件开始,所讨论的宇宙演化为两个各向同性子空间的乘积。第一个子空间各向同性扩展,第二个表示具有稳定大小的“内部”各向同性子空间。动力学演化不需要对初始条件进行微调,但对于特定范围的耦合常数是可能的。相应的条件已通过分析找到,并已使用运动方程的数值积分得到确认。
更新日期:2020-03-31
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