论文标题
不均匀的紧凑型额外维度和De Sitter宇宙学
Inhomogeneous compact extra dimensions and de Sitter cosmology
论文作者
论文摘要
在多维$ f（r）$重力的框架内，我们研究了紧凑的额外维度的指标，假设我们的4D空间具有Sitter指标。通过这种指标描述的歧管可以在通货膨胀甚至更高的能量尺度上形成。结果表明，在存在标量字段的情况下，在额外的因子空间中有所不同，$ \ mathbb {m} _2 $，可以在$ \ mathbb {m} _2 $中获得各种不均匀度量。这些指标中的每一个都会导致4D宇宙常数$λ_4$的一定值，尤其是可以获得$λ_4= 0 $，如数字获得的解决方案所证实的那样。额外维度中的非平凡标量场分布是该模型家族的重要特征。
In the framework of multidimensional $f(R)$ gravity, we study the metrics of compact extra dimensions assuming that our 4D space has the de Sitter metric. Manifolds described by such metrics could be formed at the inflationary and even higher energy scales. It is shown that in the presence of a scalar field, varying in the extra factor space $\mathbb{M}_2$, it is possible to obtain a variety of inhomogeneous metrics in $\mathbb{M}_2$. Each of these metrics leads to a certain value of the 4D cosmological constant $Λ_4$, and in particular, it is possible to obtain $Λ_4 =0$, as is confirmed by numerically obtained solutions. A nontrivial scalar field distribution in the extra dimensions is an important feature of this family of models.
