Autonomous dynamical system of Einstein–Gauss–Bonnet cosmologies

Chatzarakis, N.; Oikonomou, V. K.

doi:10.1016/j.aop.2020.168216

Cited by 19 publications

(7 citation statements)

References 70 publications

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“…This study extends and completes previous results in the literature in Einstein-Gauss-Bonnet scalar field cosmology [46,47]. The analysis indicates that the theory can explain the main eras of cosmological history.…”

Section: Discussionsupporting

confidence: 89%

“…In [46], the dynamics of the cosmological field equations were investigated for the four-dimensional Einstein Gauss-Bonnet scalar field theory, where the authors have assumed that the Hubble function is that of a scaling solution, however in [47], the most general case was studied, and the equilibrium points of the field equations were investigated. The analysis in [47] shows that the only equilibrium points where the Gauss-Bonnet term contributes to the cosmological fluid are that of the de Sitter universe.…”

Section: Introductionmentioning

confidence: 99%

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Phase-space analysis of an Einstein-Gauss-Bonnet scalar field cosmology

Millano¹,

León²,

Paliathanasis³

2023

Preprint

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We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann-Lemaître-Robertson-Walker spacetime. For the scalar field potential, we consider the exponential function. In contrast, for the coupling function of the scalar field with the Gauss-Bonnet term, we assume two cases, the exponential function and the power-law function. We write the field equations in dimensionless variables and study the equilibrium points using Poincare variables. For the exponential coupling function, the asymptotic solutions describe de Sitter universes or spacetimes where the Gauss-Bonnet term dominates. We recovered previous results but found new asymptotic solutions not previously studied. For the power-law coupling function, equilibrium points which describe the scaling solution appear. Finally, the power-law coupling provides a rich cosmological phenomenology.

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Section: Discussionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Phase-space analysis of an Einstein-Gauss-Bonnet scalar field cosmology

Millano¹,

León²,

Paliathanasis³

2023

Preprint

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“…The enrich nature of the Gauss Bonnet gravity invites scientists to explore its various aspects regarding the cosmological factors [71][72][73]. Similarly the stability and consistency analysis for the GB theory is greatly appreciated in the recent works.…”

Section: = -mentioning

confidence: 99%

Matter bounce scenario in matter geometry coupled theory

Suzuki,

Almutairi,

Aman

2023

Phys. Scr.

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This paper studies the cosmographic and matter bounce scenario in modified theory. The corresponding field equations are evaluated after considering special corrections of a Hubble parameter. The linear corrections to the Gauss-Bonnet gravity are being taken to analyze the behavior of Hubble and deceleration parameters. We derive dynamical parameters in a very general way to analyze different energy conditions that would lead to understanding the behavior of the equation of state parameters in cosmography. Finally, the removal of the initial singularity is observed to understand the late-time cosmic acceleration.

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“…So, in this paper, we adopt the coupling function ξ(σ) similar to Ref. [56]. Using integration by parts, we can convert the second derivative terms into the first order derivatives.…”

Section: B Gauss-bonnet Termmentioning

confidence: 99%

Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity

2021

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We present the cosmological analysis of the Gauss-Bonnet quasi-dilaton massive gravity theory. This offers a gravitational theory with a non-zero graviton mass. We calculate the complete set of background equations of motion. Also, we obtain the self-accelerating background solutions and we present the constraints on parameters to indicate the correct sign of parameters. In addition, we analyse tensor perturbations and calculate the mass of graviton and find the dispersion relation of gravitational waves for two cases. Finally, we investigate the propagation of gravitational perturbation in the FLRW cosmology in the Gauss-Bonnet quasi-dilaton massive gravity.

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Autonomous dynamical system of Einstein–Gauss–Bonnet cosmologies

Cited by 19 publications

References 70 publications

Phase-space analysis of an Einstein-Gauss-Bonnet scalar field cosmology

Phase-space analysis of an Einstein-Gauss-Bonnet scalar field cosmology

Matter bounce scenario in matter geometry coupled theory

Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity

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