The bounce universe history from unimodular $F(R)$ gravity

Abstract

In this paper we investigate how to realize various quite well known cosmological bouncing models in the context of the recently developed unimodular $F(R)$ gravity. Particularly, we shall study the matter bounce scenario, the singular bounce, the superbounce and a symmetric bounce scenario. We present the behavior of the Hubble radius for each of the bouncing models we shall take into account and we investigate which era of the bouncing model is responsible for the cosmological perturbations. As we shall demonstrate, the various bouncing models do not behave in the same way, so the cosmological perturbations for each model may correspond to a different era, in comparison to other models. Also we present which unimodular $F(R)$ gravity realizes each model. We also show that Newton's law is not modified in the unimodular $F(R)$ gravity, which also is proven to be a ghost-free theory, and in addition we discuss the matter stability issue. Finally, we demonstrate how it is possible to solve a cosmological constant problem in the context of unimodular $F(R)$ gravity.

PRD version

References in corpus (32)

• 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
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Towards a Nonsingular Bouncing Cosmology
• Inflationary cosmology in modified gravity theories
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Bouncing Universe with Quintom Matter
• Matter instability in modified gravity
• Are loop quantum cosmos never singular?
• Transverse Fierz-Pauli symmetry
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• The Renormalization Group flow of unimodular f(R) gravity
• Dark energy from modified gravity with Lagrange multipliers
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Matter creation in a nonsingular bouncing cosmology
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
• Consistent Loop Quantum Cosmology
• A $\Lambda$CDM bounce scenario
• On the UV structure of quantum unimodular gravity
• Cosmological Perturbations in Unimodular Gravity
• Gauss-Bonnet dark energy by Lagrange multipliers
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Perturbations in Matter Bounce with Non-minimal Coupling
• Constraints on Singular Evolution from Gravitational Baryogenesis
• A flat space-time model of the Universe
• Density-metric unimodular gravity:vacuum spherical symmetry
• How can holonomy corrections be introduced in $f(R)$ gravity?
• Can the Big Bang Singularity be avoided by a single scalar field?
• Bouncing Cosmologies

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• Viable tensor-to-scalar ratio in a symmetric matter bounce
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• The Asymptotic Behavior of Bouncing Cosmological Models in $F(\mathcal{G})$ Gravity Theory
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• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
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• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity