The Asymptotic Behavior of Bouncing Cosmological Models in $F(\mathcal{G})$ Gravity Theory

Abstract

We reconstruct $F(\mathcal{G})$ gravity theory with an exponential scale factor to realize the bouncing behavior in the early universe and examine the asymptotic behaviour of late-time solutions in this model. We propose an approach to the construction of asymptotic expansions of solutions of the Friedmann equations on the basis of Puiseux series.

arXiv comment11 pages. arXiv admin note: substantial text overlap with arXiv:1403.3242

References in corpus (31)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• 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
• Towards a Nonsingular Bouncing Cosmology
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Kasner and Mixmaster behavior in universes with equation of state w \ge 1
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Alternatives to Cosmological Inflation
• Bouncing cosmology with future singularity from modified gravity
• Two Field Matter Bounce Cosmology
• Obtaining the CMB anomalies with a bounce from the contracting phase to inflation
• Towards Anisotropy-Free and Non-Singular Bounce Cosmology with Scale-invariant Perturbations
• Anisotropy in a Nonsingular Bounce
• On the Stability of a class of Modified Gravitational Models
• Cosmology of the Very Early Universe
• Bouncing cosmologies with dark matter and dark energy
• The bounce universe history from unimodular $F(R)$ gravity
• A $\Lambda$CDM bounce scenario
• Evolution of curvature and anisotropy near a nonsingular bounce
• Unstable growth of curvature perturbation in non-singular bouncing cosmologies
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Deformed Matter Bounce with Dark Energy Epoch
• Searching for a matter bounce cosmology with low redshift observations

Cited by in corpus (8)

• Dynamics of Inflation and Dark Energy from $F(R,\mathcal{G})$ Gravity
• Propagating Speed of Primordial Gravitational Waves
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology
• Covariant action for bouncing cosmologies in modified Gauss-Bonnet gravity
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• Loop Quantum Cosmology Scalar Field Models
• Testing Gauss-Bonnet Gravity with DESI BAO Data