Classifying and avoiding singularities in the alternative gravity dark energy models

Abstract

The future finite-time singularities emerging in alternative gravity dark energy models are classified and studied in Jordan and Einstein frames. It is shown that such singularity may occur even in flat spacetime for the specific choice of the effective potential. The conditions for the avoidance of finite-time singularities are presented and discussed. The problem is reduced to the study of a scalar field evolving on an effective potential by using the conformal transformations. Some viable modified gravity models are analyzed in detail and the way to cure singularity is considered by introducing the higher-order curvature corrections. These results maybe relevant for the resolution of the conjectured problem in the relativistic star formation in such modified gravity where finite-time singularity is also manifested.

21 pages, 12 figures, published version in PRD

References in corpus (30)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Extra force in $f(R)$ modified theories of gravity
• 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
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• 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
• Dark matter as a geometric effect in f(R) gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Relativistic stars in f(R) gravity, and absence thereof
• Non-linear evolution of f(R) cosmologies I: methodology
• Worse than a big rip?
• Analysis of Rotation Curves in the framework of R^n gravity
• Cosmological Constraints on f(R) Acceleration Models
• Aspects of cosmological expansion in F(R) gravity models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
• The cosmological constant and dark energy in braneworlds
• Viscous Dark Cosmology with Account of Quantum Effects
• Singular fate of the universe in modified theories of gravity
• Observational Bounds on Modified Gravity Models