Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity

Abstract

We reconstruct $F(R)$ gravity models with exponential and power-law forms of the scale factor in which bounce cosmology can be realized. We explore the stability of the reconstructed models with analyzing the perturbations from the background solutions. Furthermore, we study an $F(R)$ gravity model with a sum of exponentials form of the scale factor, where the bounce in the early universe as well as the late-time cosmic acceleration can be realized in a unified manner. As a result, we build a second order polynomial type model in terms of $R$ and show that it could be stable. Moreover, when the scale factor is expressed by an exponential form, we derive $F(R)$ gravity models of a polynomial type in case of the non-zero spatial curvature and that of a generic type in that of the zero spatial curvature. In addition, for an exponential form of the scale factor, an $F(R)$ bigravity model realizing the bouncing behavior is reconstructed. It is found that in both the physical and reference metrics the bouncing phenomenon can occur, although in general the contraction and expansion rates are different each other.

23 pages, 5 figures, version accepted for publication in JCAP

References in corpus (30)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Resummation of Massive Gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• The Large Scale Structure of f(R) Gravity
• Towards a Nonsingular Bouncing Cosmology
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Interacting Spin-2 Fields
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Matter instability in modified gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Quasi-Dilaton: Theory and Cosmology
• Two Field Matter Bounce Cosmology
• Anisotropy in a Nonsingular Bounce
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
• Massive gravity from bimetric gravity
• Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce
• Unstable growth of curvature perturbation in non-singular bouncing cosmologies
• Phantom crossing and quintessence limit in extended nonlinear massive gravity
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation
• Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
• Bounces, turnarounds and singularities in bimetric gravity
• Non-singular bounce transitions in the multiverse
• Gravitational Waves in Ghost Free Bimetric Gravity
• Bouncing Cosmologies

Cited by in corpus (135)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Massive Gravity
• Bouncing Cosmologies: Progress and Problems
• Inflationary cosmology in modified gravity theories
• A Critical Review of Classical Bouncing Cosmologies
• Viscous Cosmology for Early- and Late-Time Universe
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Bouncing cosmology with future singularity from modified gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Cosmological bouncing solutions in f(T,B) gravity
• Bouncing cosmology in $f(R,T)$ gravity
• Singular Inflationary Universe from $F(R)$ Gravity
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Bouncing cosmologies with dark matter and dark energy
• An Extended Matter Bounce Scenario: current status and challenges
• The bounce universe history from unimodular $F(R)$ gravity
• Evolution of cosmological perturbations and the production of non-Gaussianities through a nonsingular bounce: Indications for a no-go theorem in single field matter bounce cosmologies
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Unimodular $F(R)$ Gravity
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• The bouncing cosmology with $F(R)$ gravity and its reconstructing
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Cosmological bouncing solutions in extended teleparallel gravity theories
• Bouncing scenario in $f(R,T)$ gravity
• Non-polynomial Lagrangian approach to Regular Black Holes
• Quasi-matter domination parameters in bouncing cosmologies
• A special class of solutions in $F(R)$-gravity
• Phase transition of charged black holes in massive gravity through new methods
• Reconstruction of $f(T)$-gravity in the absence of matter
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Possible antigravity regions in $F(R)$ theory?
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Bouncing Models in an Extended Gravity Theory
• Bounce cosmology in generalized modified gravities
• Deformed Matter Bounce with Dark Energy Epoch
• Pre-inflationary primordial perturbations
• Cosmology of F(R) nonlinear massive gravity
• Viscous Fluid Holographic Bounce
• Probing massless and massive gravitons via entanglement in a warped extra dimension
• Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Bouncing cosmology from warped extra dimensional scenario
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Gravitational baryogenesis models comparison in f(R) Gravity
• Reconstruction method of $f(R)$ gravity for isotropic and anisotropic spacetimes
• Bounce Universe Induced by an Inhomogeneous Dark Fluid Coupled with Dark Matter
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• The fate of Schwarzschild-de Sitter Black Holes in $f(R)$ gravity
• Constraining $F(R)$ bouncing cosmologies with primordial black holes
• Physical Parameters for Stable $f(R)$ Models
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Bimetric-Affine Quadratic Gravity
• Bounce and cyclic cosmology in weakly broken galileon theories
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Gravitational Dust Collapse in $f(R)$ Gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Dissipative Universe-Inflation with Soft Singularity
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
• Parity violation in pre-inflationary bounce
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Phantom energy dominated universe as a transient stage in $f(R)$ cosmology
• No-boundary Wave Function, Wheeler-DeWitt Equation and Path Integral Analysis of the Bouncing `Quantum' Cosmology
• Evading the theoretical no-go theorem for nonsingular bounces in Horndeski/Galileon cosmology
• Cosmological evolution of thermal relic particles in $f(R)$ gravity
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Inflation and Bounce from Classical and Loop Quantum Cosmology Imperfect Fluids
• Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Bouncing with shear: Implications from quantum cosmology
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Interacting Quintessence in a New Scalar-Torsion Gravity
• $f(\mathcal{G},\text{T})$ Gravity Bouncing Universe with Cosmological Parameters
• Exploring Plane Symmetric Solutions in $f(R)$ Gravity
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity in Bianchi-I spacetime
• Intricacies of Cosmological bounce in polynomial metric $f(R)$ gravity for flat FLRW spacetime
• Inhomogeneous Dark Fluid and Dark Matter, Leading to a Bounce Cosmology
• Deformed compact extra space as dark matter candidate
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Inhomogeneous compact extra dimensions and de Sitter cosmology
• Viscous Accelerating Universe with Non-linear and Logarithmic Equation of State Fluid
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• Bouncing cosmological models in a functional form of F(R) gravity
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• New massive spin two model on curved space-time
• Renormalizable toy model of massive spin two field and new bigravity
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Nonlinear anisotropy growth in Bianchi-I spacetime in metric $f(R)$ cosmology
• Role of initial conditions in the Universe formation
• Note on bouncing backgrounds
• Loop Quantum Cosmology Scalar Field Models
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Can Holographic dark energy increase the mass of the wormhole?
• Little Rip, Pseudo Rip and bounce cosmology with generalized equation of state in non-standard backgrounds
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario
• Novel modulus stabilization mechanism in higher dimensional f(R) Gravity
• Holographic cosmology with two coupled fluids in the presence of viscosity
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Causal horizons in a bouncing universe
• Gravity with Higher Derivatives in D-Dimensions
• Bouncing cosmological model with general relativistic hydrodynamics in extended gravity
• Two-dimensional manifold with point-like defects
• A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $f(R)$ gravity
• Dynamical systems analysis of a cosmological model with interacting Umami Chaplygin fluid in adiabatic particle creation mechanism: Some bouncing features
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• The Holographic cosmology with axion field
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Holographic bounce cosmological models induced by viscous dark fluid from a generalized non-singular entropy function
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries
• On preheating after inflation in general scalar-tensor theories of gravity
• Flexible extra dimensions
• Power-Law Bounces in $f(R)$ Gravity: Analysis of the Ekpyrosis and Accelerating Regimes
• Primordial Black Holes from Spatially Varying Cosmological Constant Induced by Field Fluctuations in Extra Dimensions
• Cosmology and matter induced branes
• Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
• Formation and evolution of a 2-brane structure in multidimensional $f(R)$ gravity
• GR-GSG Hybrid Gravity
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes
• Bouncing Cosmologies in modified gravity with space time torsion
• Bouncing cosmologies from Born-Infeld-type gravity
• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• RRR fluctuations from non-singular bounce