论文标题

Einstein-Gauss-Bonnet重力中具有三个各向同性子空间的精确指数宇宙学解决方案的示例

Examples of exact exponential cosmological solutions with three isotropic subspaces in the Einstein-Gauss-Bonnet gravity

论文作者

Ernazarov, K. K.

论文摘要

我们考虑$(1+ 8)$ - 和$(1+ 10)$ - 尺寸Einstein-Gauss-Bonnet型号,带有宇宙学$λ$ -Term。 Some new examples of exact solutions with three constant Hubble-like parameters in this model are obtained, governed by three non-coinciding Hubble-like parameters: $H \neq 0$, $h_1$ and $h_2$, obeying $m H + k_1 h_1 + k_2 h_2 \neq 0$, corresponding to factor spaces of dimensions $m\geqslant 3$, $ k_1 > 1 $和$ k_2 \ geqslant 1 $。在这种情况下,多维宇宙学模型涉及三个因素空间:外部三维“我们的”世界和内部空间,具有尺寸$(m-3)$,$ k_1 $和$ k_2 $。

We consider $(1+ 8)$- and $(1+10)$-dimensional Einstein-Gauss-Bonnet models with the cosmological $Λ$-term. Some new examples of exact solutions with three constant Hubble-like parameters in this model are obtained, governed by three non-coinciding Hubble-like parameters: $H \neq 0$, $h_1$ and $h_2$, obeying $m H + k_1 h_1 + k_2 h_2 \neq 0$, corresponding to factor spaces of dimensions $m\geqslant 3$, $ k_1 > 1$ and $ k_2\geqslant 1$. In this case, the multidimensional cosmological model deals with three factor spaces: the external 3-dimensional "our" world and internal subspaces with dimensions $ (m-3)$, $k_1$ and $k_2$.

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