论文标题
爱因斯坦静态宇宙的稳定性在$ 4 d $高斯重力
Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity
论文作者
论文摘要
通过重新缩放高斯 - 骨(GB)耦合常数$α\rightArrowα/(d-4)$,并考虑到$ d \ rightarrow 4 $限制,GB重力在四个维度中引起了一般相关性的非平凡修改。在这项工作中,我们调查了$ 4 d $ gb重力中新兴宇宙场景的实现。首先,我们获得了充满完美流体的爱因斯坦静态宇宙。然后,我们表明,在同一个和不均匀的标量扰动中,空间封闭和开放的宇宙都可以稳定。
By rescaling the Gauss-Bonnet (GB) coupling constant $α\rightarrow α/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work, we investigate the realization of the emergent universe scenario in the $4 D$ GB gravity. First, we obtain the Einstein static universe filled with a perfect fluid. Then, we show that both spatially closed and open universes can be stable against both homogeneous and inhomogeneous scalar perturbations simultaneously.