Cosmological dynamics of fourth-order gravity with a Gauss-Bonnet term

DOI10.1134/S0202289312010100zbMath1252.83078arXiv1011.0544OpenAlexW1999183081MaRDI QIDQ1761355

Alexey V. Toporensky, Mikhail M. Ivanov

Publication date: 15 November 2012

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

Full work available at URL: https://arxiv.org/abs/1011.0544

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Space-time singularities, cosmic censorship, etc. (83C75) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Astrophysical cosmology (85A40)

Related Items (11)

Dynamical analysis on $f(R, \mathcal{G})$ cosmology ⋮ Noether symmetry approach in Gauss–Bonnet cosmology ⋮ Observational constrained gravity cosmological model and the dynamical system analysis ⋮ How a Conformally Flat Impacts Gauss‐Bonnet Gravity? ⋮ Finite-time cosmological singularities and the possible fate of the universe ⋮ Holographic description of F(R) gravity coupled with axion dark matter ⋮ Autonomous dynamical system of Einstein-Gauss-Bonnet cosmologies ⋮ The phase space of \(k\)-essence \(f(R)\) gravity theory ⋮ Isotropic universe with almost scale-invariant fourth-order gravity ⋮ Effects of spatial curvature on the f  ( R ) gravity phase space: no inflationary attractor? ⋮ Generalized logarithmic equation of state in classical and loop quantum cosmology dark energy-dark matter coupled systems

Cites Work

• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Cosmological dynamics in sixth-order gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Inevitable Ghost and the Degrees of Freedom in f(R, ) Gravity
• DE SITTER STABILITY IN QUADRATIC GRAVITY
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Cosmological dynamics of R ⁿ gravity

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