Autonomous Dynamical System Description of de Sitter Evolution in Scalar Assisted $f(R)-\varphi$ Gravity

Abstract

In this letter we will study the cosmological dynamical system of an $f(R)$ gravity in the presence of a canonical scalar field $\varphi$ with an exponential potential, by constructing the dynamical system in a way that it is render autonomous. This feature is controlled by a single variable $m$, which when it is constant, the dynamical system is autonomous. We focus on the $m=0$ case which, as we demonstrate by using a numerical analysis approach, leads to an unstable de Sitter attractor, which occurs after $N\sim 60$ $e$-foldings. This instability can be viewed as a graceful exit from inflation, which is inherent to the dynamics of de Sitter attractors.

References in corpus (31)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Dynamical behavior in $f(T,T_G)$ cosmology
• Dynamical behavior in mimetic F(R) gravity
• Autonomous Dynamical System Approach for $f(R)$ Gravity
• The phase space view of f(R) gravity
• Dynamics of Quintessence Models of Dark Energy with Exponential Coupling to the Dark Matter
• Dynamical analysis of generalized Galileon cosmology
• Cosmological dynamics of mimetic gravity
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Phase Space Analysis of the Accelerating Multi-fluid Universe
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• On dynamical systems approaches and methods in $f(R)$ cosmology
• Cosmological dynamics in f(R) gravity
• Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model
• Kinematics and Dynamics of $f(R)$ Theories of Gravity
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Coupled dark energy: a dynamical analysis with complex scalar field
• A Dynamical System Analysis of $f(R,T)$ Gravity
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Coupled quintessence and the impossibility of an interaction: a dynamical analysis study
• Dynamical analysis for a vector-like dark energy
• Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term
• Future dynamics in f(R) theories
• Scalar Field Assisted $f(R)$ Gravity Inflation
• Stability and Space Phase Analysis in f(R) theory with Generalized Exponential model

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• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
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• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• The Phase Space of $k$-Essence $f(R)$ Gravity Theory
• Phase Space Analysis and Thermodynamics of Interacting Umami Chaplygin gas in FRW Universe
• Testing scale-invariant inflation against cosmological data
• Dynamical system analysis of logotropic dark fluid with a power law in the rest-mass energy density
• Interacting dark energy model in the brane scenario: A Dynamical System Analysis
• w=1/3 to w=-1 evolution in a Robertson-Walker space-time with constant scalar curvature
• Late time dynamics of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Phase space analysis and cosmography of a two-fluid cosmological model