Superbounce and Loop Quantum Cosmology Ekpyrosis from Modified Gravity

Abstract

As is known, in modified cosmological theories of gravity many of the cosmologies which could not be generated by standard Einstein gravity, can be consistently described by $F(R)$ theories. Using known reconstruction techniques, we investigate which $F(R)$ theories can lead to a Hubble parameter describing two types of cosmological bounces, the superbounce model, related to supergravity and non-supersymmetric models of contracting ekpyrosis and also the Loop Quantum Cosmology modified ekpyrotic model. Since our method is an approximate method, we investigate the problem at large and small curvatures. As we evince, both models yield power law reconstructed $F(R)$ gravities, with the most interesting new feature being that both lead to accelerating cosmologies, in the large curvature approximation. The mathematical properties of the some Friedmann-Robertson-Walker spacetimes $M$, that describe superbounce-like cosmologies are also pointed out, with regards to the group of curvature collineations $CC(M)$.

References added

References in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmology and the Fate of Dilatation Symmetry
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Covariant Galileon
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Towards a Nonsingular Bouncing Cosmology
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Matter instability in modified gravity
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Matter creation in a nonsingular bouncing cosmology
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Direct Detection of Dark Matter Rates for Various Wimps
• Hidden Negative Energies in Strongly Accelerated Universes
• Inflation, quintessence, and the origin of mass
• Group field theories for all loop quantum gravity
• On $R+\alpha R^2$ Loop Quantum Cosmology
• Viability of the matter bounce scenario in Loop Quantum Cosmology from BICEP2 last data
• Modified gravity and coupled quintessence
• Direct dark matter searches - Test of the Big Bounce Cosmology
• Bouncing Cosmologies

Cited by in corpus (22)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Teleparallel Gravity: From Theory to Cosmology
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Cosmological bouncing solutions in f(T,B) gravity
• Bouncing cosmological solutions from f(R,T) gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• The bounce universe history from unimodular $F(R)$ gravity
• Cosmological bouncing solutions in extended teleparallel gravity theories
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• $\Lambda$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
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
• Unimodular $f(G)$ gravity
• Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages
• Inflation and Bounce from Classical and Loop Quantum Cosmology Imperfect Fluids
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Cosmology of unimodular Born-Infeld-$f(R)$ gravity
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario