Abstract
A D-dimensional gravitational model with Gauss–Bonnet and cosmological terms is considered. When an ansatz with a diagonal cosmological metric is adopted, we find new examples of solutions for Λ Λ ≠ 0 and D = 8 with an exponential dependence of the scale factors, which describe expansion of our 3D factor-space and contraction of 4D internal space. We also study the stability of the solutions with static Hubble-like parameters h i and prove that two solutions with Λ = 0 in dimensions D = 22, 28, which were found earlier, are stable. For both solutions we find asymptotic relations for the effective gravitational constant.
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Ernazarov, K.K., Ivashchuk, V.D. & Kobtsev, A.A. On exponential solutions in the Einstein–Gauss–Bonnet cosmology, stability and variation of G . Gravit. Cosmol. 22, 245–250 (2016). https://doi.org/10.1134/S0202289316030051
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DOI: https://doi.org/10.1134/S0202289316030051