标量场非最小导数耦合四维宇宙学中的消失维数
Vanishing Dimensions in Four Dimensional Cosmology with Nonminimal Derivative Coupling of Scalar Field
摘要：
我们讨论了一种机制，它允许宇宙在其非常早期的时代从低维（$d < 4$）开始，并在该过程结束时进化到四维。该机制是由标量场的非最小导数耦合产生的，其中标量场的导数项耦合到曲率张量。我们求解了爱因斯坦方程的一个大的和几乎恒定的哈勃参数的极限，并分析了哈勃参数在这个极限的演变。早期宇宙的低维性在统一论的背景下具有优势。
英文摘要：
We discussed a mechanism that allows the universe to start from lower dimension ($d < 4$) in its very early era and evolves to four dimension at the end of the process. The mechanism is generated by a nonminimal derivative coupling of scalar field, where derivative terms of the scalar field coupled to curvature tensor. We solve the Einstein equations for a limit of large and nearly constant Hubble parameter and analyze the evolution of the Hubble parameter in this limit. The lower-dimensionality in early universe has advantages in the context of unification theory.
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