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- W2806726711 abstract "We study $D$-dimensional Einstein-Gauss-Bonnet gravitational model including the Gauss-Bonnet term and the cosmological term $Lambda$. We find a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters $H >0$ and $h$, corresponding to factor spaces of dimensions $m >2$ and $l > 2$, respectively. These solutions contain a fine-tuned $Lambda = Lambda (x, m, l, alpha)$, which depends upon the ratio $h/H = x$, dimensions of factor spaces $m$ and $l$, and the ratio $alpha = alpha_2/alpha_1$ of two constants ($alpha_2$ and $alpha_1$) of the model. The master equation $Lambda(x, m, l,alpha) = Lambda$ is equivalent to a polynomial equation of either fourth or third order and may be solved in radicals. The explicit solution for $m = l$ is presented in Appendix. Imposing certain restrictions on $x$, we prove the stability of the solutions in a class of cosmological solutions with diagonal metrics. We also consider a subclass of solutions with small enough variation of the effective gravitational constant $G$ and show the stability of all solutions from this subclass." @default.
- W2806726711 created "2018-06-13" @default.
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- W2806726711 date "2018-09-05" @default.
- W2806726711 modified "2023-09-27" @default.
- W2806726711 title "Stable exponential cosmological solutions with two factor spaces in the Einstein–Gauss–Bonnet model with a $$Lambda $$ Λ -term" @default.
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- W2806726711 doi "https://doi.org/10.1007/s10714-018-2447-4" @default.
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