Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity

Abstract

We study how a cosmological bounce with a Type IV singularity at the bouncing point, can be generated by a classical vacuum $F(G)$ gravity. We focus our investigation on the behavior of the vacuum $F(G)$ theory near the Type IV singular bouncing point and also we address the stability of the resulting solution, by treating the equations of motion as a dynamical system. In addition, we investigate how the scalar perturbations of the background metric evolve, emphasizing to cosmological times near the Type IV singular bouncing point. Finally, we also investigate which mimetic vacuum $F(G)$ gravity can describe the singular bounce cosmology.

Significantly expanded perturbations section, important references added, PRD accepted

References in corpus (50)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Covariant Galileon
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Towards a Nonsingular Bouncing Cosmology
• Inflationary cosmology in modified gravity theories
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Bouncing Universe with Quintom Matter
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Cosmology with Mimetic Matter
• Are loop quantum cosmos never singular?
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Worse than a big rip?
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Classification of cosmological milestones
• Quantum phantom cosmology
• Avoidance of future singularities in loop quantum cosmology
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Bouncing cosmology with future singularity from modified gravity
• 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
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• On the quantum fate of singularities in a dark-energy dominated universe
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• F(R) gravity and inflation
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
• Consistent Loop Quantum Cosmology
• A $\Lambda$CDM bounce scenario
• Classical Stability of Sudden and Big Rip Singularities
• Cosmological perturbations in mimetic matter model
• Viscous Dark Cosmology with Account of Quantum Effects
• Singular Inflation
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• New Modified Mimetic Gravity
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Running of the scalar spectral index in bouncing cosmologies
• Perturbations in Matter Bounce with Non-minimal Coupling
• Singular deformations of nearly $R^2$ inflation potentials
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Can the Big Bang Singularity be avoided by a single scalar field?
• Viable Mimetic $F(R)$ Gravity Compatible with Planck Observations
• Singular inflation from generalized equation of state fluids
• Inflation in exponential scalar model and finite-time singularity induced instability
• Bouncing Cosmologies

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• Constraints on the sum of the neutrino masses in dynamical dark energy models with $w(z)\ge -1$ are tighter than those obtained in $\Lambda$CDM
• Recent Advances on Inflation
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Dynamics of Inflation and Dark Energy from $F(R,\mathcal{G})$ Gravity
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• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
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• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• Cosmological bouncing solutions in extended teleparallel gravity theories
• From a Bounce to the Dark Energy Era with $F(R)$ Gravity
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• Propagating Speed of Primordial Gravitational Waves
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• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
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• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
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• Dissimilar Donuts in the Sky? Effects of a Pressure Singularity on the Circular Photon Orbits and Shadow of a Cosmological Black Hole
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• Gauss-Bonnet Cosmology Unifying Late and Early-time Acceleration Eras with Intermediate Eras
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• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
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• Structure formation in mimetic gravity
• Existence of Static Wormholes in $f(\mathcal{G},T)$ Gravity
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• On the Expanding Phase of a Singular Bounce and Intermediate Inflation: The Modified Gravity Description
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• Multifluid cosmology in f (G) gravity
• Non-local gravity in bouncing cosmology scenarios
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Towards the bounce inflationary gravitational wave
• Cosmic acceleration and ekpyrotic bounce with Chameleon field
• Thermal Fluctuations of Dark Matter in Bouncing Cosmology
• Structure Formation in Non-local Bouncing Models
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
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• On Inflationary Models in f(R,T) Gravity with a Kinetic Coupling Term
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• Type V singularities with inhomogeneous equations of state
• Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
• Rips and regular future scenario with Holographic Dark Energy: A comprehensive look
• Cosmological singularities in non-canonical models of dark energy
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• On rips and cosmological singularities in a universe merging with baby universes
• Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity
• On inflationary parameters in scalar-tensor theories
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity