Abstract
A D-dimensional gravitational model with a Gauss–Bonnet term and the cosmological constant Λ is considered. Assuming diagonal cosmological metrics, we find, for certain Λ > 0, new examples of solutions with an exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h < 0, corresponding to submanifolds of dimensions m and l, respectively, with (m, l) = (4, 2), (5, 2), (5, 3), (6, 7), (7, 5), (7, 6) and D = 1 + m + l. Any of these solutions describes an exponential expansion of our 3-dimensional factor space with the Hubble parameter H and zero variation of the effective gravitational constant G. We also prove the stability of these solutions in the class of cosmological solutions with diagonal metrics.
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17 November 2017
An erratum to this article has been published.
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An erratum to this article is available at https://doi.org/10.1134/S0202289317040107.
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Ivashchuk, V.D. On stable exponential solutions in Einstein–Gauss–Bonnet cosmology with zero variation of G . Gravit. Cosmol. 22, 329–332 (2016). https://doi.org/10.1134/S0202289316040095
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DOI: https://doi.org/10.1134/S0202289316040095