2016/10/01 by V. D. Ivashchuk · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Diagonal #Exponential function #Geometric Analysis and Curvature Flows #Gravitational constant #Hubble's law #Scale factor (cosmology) #Zero (linguistics) #gr-qc
paper · pdf · doi:10.1134/s0202289316040095
published as Gravitation and Cosmology 22(4), 329-332 (2016) · 4 pages, Latex, corrected version of the paper published in Grav. Cosmol. Three typos for Lambda corresponding to (m,l) = (6,7), (7,5), (7,6) are eliminated
openalex publication_date 2016/10/01 · openalex created_date 2016/11/30 · arxiv created 2016/12/21 · arxiv updated 2016/12/28 · openalex updated_date 2026/08/05
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.