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 (102)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Curvature Quintessence
• Generalization of the Fierz-Pauli Action
• Theoretical Aspects of Massive Gravity
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Quintom Cosmology: Theoretical implications and observations
• Cosmology on a Brane in Minkowski Bulk
• Bimetric Gravity from Ghost-free Massive Gravity
• Dark Energy
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Can modified gravity explain accelerated cosmic expansion?
• Strong Interactions and Stability in the DGP Model
• The Large Scale Structure of f(R) Gravity
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• Classical and Quantum Consistency of the DGP Model
• The Physics of Cosmic Acceleration
• Bouncing Universes in String-inspired Gravity
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Photon and Graviton Mass Limits
• Towards a Nonsingular Bouncing Cosmology
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Ghost-free Massive Gravity with a General Reference Metric
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• On Non-Linear Actions for Massive Gravity
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• Cosmological reconstruction of realistic modified F(R) gravities
• Massive Cosmologies
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Interacting Spin-2 Fields
• Kasner and Mixmaster behavior in universes with equation of state w \ge 1
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Matter instability in modified gravity
• Strong interactions and exact solutions in non-linear massive gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Cosmological Solutions in Bimetric Gravity and their Observational Tests
• Cosmological solutions with massive gravitons in the bigravity theory
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bouncing Galileon Cosmologies
• Suppressing CMB Quadrupole with a Bounce from Contracting Phase to Inflation
• Stable bounce and inflation in non-local higher derivative cosmology
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• Alternatives to Cosmological Inflation
• Quasi-Dilaton: Theory and Cosmology
• Two Field Matter Bounce Cosmology
• Obtaining the CMB anomalies with a bounce from the contracting phase to inflation
• Covariant Effective Action for Loop Quantum Cosmology a la Palatini
• Mass-Varying Massive Gravity
• Non-linear bigravity and cosmic acceleration
• Anisotropy in a Nonsingular Bounce
• Growth Histories in Bimetric Massive Gravity
• New Cosmological Solutions in Massive Gravity
• Cosmology of the Very Early Universe
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• On the Hamiltonian analysis of non-linear massive gravity
• Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
• Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
• Massive gravity from bimetric gravity
• Ghost-free $F(R)$ bigravity and accelerating cosmology
• Can Universe Experience Many Cycles with Different Vacua ?
• Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce
• Evolution of curvature and anisotropy near a nonsingular bounce
• Cosmologies of extended massive gravity
• When is Multimetric Gravity Ghost-free?
• Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• Unstable growth of curvature perturbation in non-singular bouncing cosmologies
• Scalar self-energy for a charged particle in global monopole spacetime with a spherical boundary
• Vector instabilities and self-acceleration in the decoupling limit of massive gravity
• 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
• Dynamical analysis of the cosmology of mass-varying massive gravity
• Bounces, turnarounds and singularities in bimetric gravity
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• Non-singular bounce transitions in the multiverse
• Hawking-Moss instanton in nonlinear massive gravity
• Gravitational Waves in Ghost Free Bimetric Gravity
• Reconstruction of f(R) models with Scale-invariant Power Spectrum
• 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