On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of \(G\)

DOI10.1134/S0202289316040095zbMath1380.83052arXiv1612.07178OpenAlexW3098738346MaRDI QIDQ683705

V. D. Ivashchuk

Publication date: 8 February 2018

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07178

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (9)

Stable exponential cosmological solutions with two factor spaces in the Einstein-Gauss-Bonnet model with a \(\Lambda \)-term ⋮ Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity ⋮ Stability analysis of compactification in 3rd order Lovelock gravity ⋮ On stable exponential cosmological solutions in the EGB model with a cosmological constant in dimensions \(D=5,6,7,8\) ⋮ Erratum to: ``On stable exponential solutions in the Einstein-Gauss-Bonnet cosmology with zero variation of \(G\) ⋮ Stable exponential cosmological solutions with three factor spaces in (1 + 3 + 3 + k)-dimensional Einstein–Gauss–Bonnet model with a Λ-term ⋮ Exact models of pure radiation in R2 gravity for spatially homogeneous wave-like Shapovalov spacetimes type II ⋮ Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity ⋮ Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a \({\Lambda}\)-term

Cites Work

• On exponential solutions in the Einstein-Gauss-Bonnet cosmology, stability and variation of \(G\)
• On time variations of gravitational and Yang-Mills constants in a cosmological model of superstring origin
• The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid
• On anisotropic Gauss-Bonnet cosmologies in \((n+1)\) dimensions, governed by an \(n\)-dimensional Finslerian 4-metric
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity
• Multidimensional gravity with Einstein internal spaces
• Einstein and Brans-Dicke frames in multidimensional cosmology
• Power-law anisotropic cosmological solution in \((5+1)\)-dimensional Gauss-Bonnet gravity
• Exact exponential solutions in Einstein–Gauss–Bonnet flat anisotropic cosmology
• ON COSMOLOGICAL-TYPE SOLUTIONS IN MULTI-DIMENSIONAL MODEL WITH GAUSS–BONNET TERM
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae

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