Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance

Abstract

We study all four types of finite-time future singularities emerging in late-time accelerating (effective quintessence/phantom) era from $\mathcal{F}(R,G)$-gravity, where $R$ and $G$ are the Ricci scalar and the Gauss-Bonnet invariant, respectively. As an explicit example of $\mathcal{F}(R,G)$-gravity, we also investigate modified Gauss-Bonnet gravity, so-called $F(G)$-gravity. In particular, we reconstruct the $F(G)$-gravity and $\mathcal{F}(R,G)$-gravity models where accelerating cosmologies realizing the finite-time future singularities emerge. Furthermore, we discuss a possible way to cure the finite-time future singularities in $F(G)$-gravity and $\mathcal{F}(R,G)$-gravity by taking into account higher-order curvature corrections. The example of non-singular realistic modified Gauss-Bonnet gravity is presented. It turns out that adding such non-singular modified gravity to singular Dark Energy makes the combined theory to be non-singular one as well.

35 pages, no figure, published version, references added

References in corpus (41)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Construction of cosmologically viable f(G) gravity models
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Dark Energy and Dark Gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• From inflation to dark energy in the non-minimal modified gravity
• Relativistic stars in f(R) gravity, and absence thereof
• Worse than a big rip?
• Classification of cosmological milestones
• Dynamics of Nonlocal Cosmology
• Avoidance of future singularities in loop quantum cosmology
• Classifying and avoiding singularities in the alternative gravity dark energy models
• The existence of relativistic stars in f(R) gravity
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• On the Stability of a class of Modified Gravitational Models
• Modified gravity as an alternative for Lambda-CDM cosmology
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Classical Stability of Sudden and Big Rip Singularities
• Viscous Dark Cosmology with Account of Quantum Effects
• Strings at future singularities
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Singular fate of the universe in modified theories of gravity
• Constraining $f(R)$ gravity models with disappearing cosmological constant
• Astronomical bounds on future big freeze singularity
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• The phase-space of generalized Gauss-Bonnet dark energy

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