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Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity · Around

2020

Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity

Li, Shou-Long, Wu, Puxun, Yu, Hongwei

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By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ 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.

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