On the $\Lambda$CDM Universe in $f(G)$ gravity

Abstract

In the context of the so-called Gauss-Bonnet gravity, where the gravitational action includes function of the Gauss-Bonnet invariant, we study cosmological solutions, especially the well-known $\Lambda$CDM model. It is shown that the dark energy contribution and even the inflationary epoch can be explained in the frame of this kind of theories with no need of any other kind of component. Other cosmological solutions are constructed and the rich properties that this kind of theories provide are explored.

9 pages. Version to be published in Gen. Rel. Grav., conclusions improved and references added

References in corpus (29)

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Cited by in corpus (64)

• f(T) teleparallel gravity and cosmology
• Accelerating universe from F(T) gravity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• FRW Cosmology in F(R,T) gravity
• On the stability of the cosmological solutions in f(R,G) gravity
• Anisotropic Universe Models in f(T) Gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Exploring Cylindrical Solutions in Modified f(G) Gravity
• Generalized $f(R,\varphi ,X)$ gravity and the late-time cosmic acceleration
• Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution
• Reconstruction of f(T) gravity from the Holographic dark energy
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe
• Observational constraints on Gauss-Bonnet cosmology
• On the non-attractive character of gravity in f(R) theories
• Phantom phase power-law solution in $f(G)$ gravity
• Gravastars in $f(R,G)$ Gravity
• From Big to Little Rip in modified F(R,G) gravity
• Cosmology of F(T) gravity and k-essence
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity
• Applicability of Modified Gauss-Bonnet Gravity Models on the Existence of Stellar Structures
• Reconstruction Procedure in Nonlocal Cosmological Models
• Inflation in mimetic f(G) gravity
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Observational constraints on non-minimally coupled Galileon model
• Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off
• The Raychaudhuri equation in homogeneous cosmologies
• Dynamics of Shearfree Dissipative Collapse in f(G) Gravity
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Dark energy in some integrable and nonintegrable FRW cosmological models
• G-essence with Yukawa Interactions
• G-essence cosmologies with scalar-fermion interactions
• Topological invariant quintessence
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• A study on the interacting Ricci dark energy in $f(R,T)$ gravity
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Unimodular $f(G)$ gravity
• Analyzing modified unimodular gravity via Lagrange multipliers
• Revisiting the matter power spectra in $f(R)$ gravity
• Addressing Cosmological Tensions by Non-Local Gravity
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
• Cosmological stability in $f(\varphi ,\mathcal{G})$ gravity
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Exact Solutions in Modified Gravity Models
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Isotropic universe with almost scale-invariant fourth-order gravity
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Backreaction mechanism in multifluid and extended cosmologies
• Dynamics of Potentials in Bianchi Type Scalar-Tensor Cosmology
• Holographic connection of f(G) gravity through Barrow and a generalized version of holographic dark fluid
• Non-minimal scalar-tensor theories
• Acceleration of the universe in matter dominant era by conformal symmetry breaking
• Generalized Noether Theorem for Gauss-Bonnet Cosmology