Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem

Abstract

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, $f(G)$, is added to the General Relativity action. We show that such theory is endowed with a quite rich cosmological structure: it may naturally lead to an effective cosmological constant, quintessence or phantom cosmic acceleration, with a possible transition from deceleration to acceleration. It is demonstrated in the paper that this theory is perfectly viable, since it is compliant with Solar System constraints. Specific properties of $f(G)$ gravity in a de Sitter universe, such as dS and SdS solutions, their entropy and its explicit one-loop quantization are studied. The issue of a possible solution of the hierarchy problem in modified gravities is addressed too.

arXiv commentLaTeX file 20 pages, new subsections are added

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• Constraints on scalar-tensor theories from observations
• Large Hierarchy from Non-minimal Coupling
• Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology
• $n+1$ formalism of $f($Lovelock$)$ gravity
• Cosmology of Einstein-Vlasov system in a weak modification of general relativity
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• Gauss-Bonnet Gravity in $D=4$ Without Gauss-Bonnet Coupling to Matter - Cosmological Implications
• $\Lambda$CDM without cosmological constant
• Geometric and thermodynamic properties in Gauss-Bonnet gravity
• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity
• Four-Dimensonal Gauss-Bonnet Gravity Without Gauss-Bonnet Coupling to Matter - Spherically Symmetric Solutions, Domain Walls and Spacetime Singularities
• Equivalence Principle and the Gauge Hierarchy Problem
• Traversable wormholes and energy conditions in Lovelock-Brans-Dicke gravity
• Late-Time Cosmic Acceleration in Ricci-Gauss-Bonnet Gravity via Gradient Descent Optimization
• Intermediate evolution using SNIa, and BAO
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Gravitational Waves Astronomy: a cornerstone for gravitational theories
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field
• Conflict between some higher-order curvature invariant terms
• Applications of Cosmological Perturbation Theory in the Late Universe
• On the number of terms in the Lovelock products
• Effective $\Lambda$CDM model emerging from $f(Q,T)$ under a special EOS limit in symmetric cosmology with Bayesian and ANN observational constraints