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

Abstract

We study finite-time future singularities in $\mathcal{F}(R,G)$-gravity, where $R$ and $G$ are the Ricci scalar and the Gauss-Bonnet invariant, respectively. In particular, we reconstruct the $F(G)$-gravity and $\mathcal{F}(R,G)$-gravity models realizing the finite-time future singularities. We discuss a possible way to cure the finite-time future singularities in $\mathcal{F}(R,G)$-gravity by taking into account higher-order curvature corrections or effects of viscous fluids.

10 pages, submitted to the volume "Cosmology, Quantum Vacuum, and Zeta Functions", in honour of Professor Emilio Elizalde on the occasion of his 60th birthday

References in corpus (13)

• 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
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• 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
• Approaches to Understanding Cosmic Acceleration
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• From inflation to dark energy in the non-minimal modified gravity
• Relativistic stars in f(R) gravity, and absence thereof
• On the Stability of a class of Modified Gravitational Models
• Dark energy, inflation and dark matter from modified F(R) gravity
• Singular fate of the universe in modified theories of gravity

Cited by in corpus (4)

• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Inhomogeneous viscous fluids in FRW universe
• Viscous effect in the late time evolution of phantom universe