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arXiv 1409.2637gr-qcastro-ph.COhep-th
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高维爱因斯坦-高斯-博内引力中的宇宙动力学

Cosmological dynamics in higher-dimensional Einstein-Gauss-Bonnet gravity

Fabrizio Canfora, Alex Giacomini, Sergey A. Pavluchenko

摘要:

本文用一般的耦合常数值对Einstein-Gauss-Bonnet引力中的宇宙动力学区域进行了系统的分类。考虑一个四维Friedmann-Robertson-Walker时空与一个具有两个独立尺度因子的$D$维欧氏紧致常曲率空间的翘曲积流形.作为耦合常数和空间截面的曲率和额外维度的函数的时间演化的数值分析被执行。我们描述的制度的分布在初始条件空间和耦合常数。对额外维度的数量的两个值($D\geqslant 6$两者)执行分析,这也允许我们描述额外维度的数量的影响。

英文摘要:

In this paper we perform a systematic classification of the regimes of cosmological dynamics in Einstein-Gauss-Bonnet gravity with generic values of the coupling constants. We consider a manifold which is a warped product of a four dimensional Friedmann-Robertson-Walker space-time with a $D$-dimensional Euclidean compact constant curvature space with two independent scale factors. A numerical analysis of the time evolution as function of the coupling constants and of the curvatures of the spatial section and of the extra dimension is performed. We describe the distribution of the regimes over the initial conditions space and the coupling constants. The analysis is performed for two values of the number of extra dimensions ($D\geqslant 6$ both) which allows us to describe the effect of the number of the extra dimensions as well.

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。

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