Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories

Abstract

We investigate the realization of two bouncing paradigms, namely of the superbounce and the loop quantum cosmological ekpyrosis, in the framework of various modified gravities. In particular, we focus on the $F(R)$, $F(G)$ and $F(T)$ gravities, and we reconstruct their specific subclasses which lead to such universe evolutions. These subclasses constitute from power laws, polynomials, or hypergeometric ansatzes, which can be approximated by power laws. The qualitative similarity of different effective gravities which realize the above two bouncing cosmologies, indicates to some universality lying behind such a bounce. Finally, performing a linear perturbation analysis, we show that the obtained solutions are conditionally or fully stable.

Revised version, to appear in AOP

References in corpus (31)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the 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
• The teleparallel equivalent of general relativity
• Towards a Nonsingular Bouncing Cosmology
• Cosmological perturbations in f(T) gravity
• 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
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Quintessence and phantom cosmology with non-minimal derivative coupling
• A f(R) gravity without cosmological constant
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Anisotropic Universe Models in f(T) Gravity
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Direct Detection of Dark Matter Rates for Various Wimps
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• Cyclic Universes from General Collisionless Braneworld Models
• Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants
• Pre-inflationary primordial perturbations
• Solar System Constraints on f(G) Dark Energy

Cited by in corpus (16)

• f(T) teleparallel gravity and cosmology
• Viscous Cosmology for Early- and Late-Time Universe
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Bouncing cosmology with future singularity from modified gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Loop Quantum Cosmology Gravitational Baryogenesis
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Gauss-Bonnet modified gravity models with bouncing behavior
• Bounce and cyclic cosmology in weakly broken galileon theories
• Non-minimally coupled nonlinear spinor field in FRW cosmology
• Reconstruction from scalar-tensor theory and the inhomogeneous equation of state in f(T) Gravity
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Bouncing cosmologies in geometries with positively curved spatial sections
• Interactions of some fluids with dark energy in f(T) theory