Holographic description of $F(R)$ gravity coupled with Axion Dark Matter

Abstract

In this work we study the autonomous dynamical system of different $F(R)$ models in the formalism of holographic dark energy using the generalized Nojiri-Odintsov cut-off. We explicitly give the expression of the fixed points as functions of the infrared cut-off for vacuum $F(R)$ gravity in flat and non-flat FRW background and for $F(R)$ coupling axion dark matter. Each fixed point component can be taken as a condition on the cut-off and on the expression of $F(R)$, leading to physically interesting constraints on these functions.

arXiv comment"International Journal of Geometric Methods in Modern Physics" Accepted

References in corpus (52)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The World as a Hologram
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Axion Cosmology
• A Model of Holographic Dark Energy
• The holographic principle
• Exponential potentials and cosmological scaling solutions
• Curvature Quintessence
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Holographic dark energy and cosmic coincidence
• A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Holographic Dark Energy
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• f(R,T) Cosmological Models in Phase Space
• Covariant Generalized Holographic Dark Energy and Accelerating Universe
• Early and late universe holographic cosmology from a new generalized entropy
• Restoring Holographic Dark Energy in Brane Cosmology
• Holographic inflation
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Autonomous Dynamical System Approach for $f(R)$ Gravity
• The phase space view of f(R) gravity
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Holographic dark energy model with non-minimal coupling
• Phase Space Analysis of the Accelerating Multi-fluid Universe
• Hint for Quintessence-like Scalars from Holographic Dark Energy
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• Connecting early and late universe by $f(R)$ gravity
• Cosmological dynamics in f(R) gravity
• Aspects of Axion $F(R)$ Gravity
• Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• $F(R)$ Gravity with an Axion-like Particle: Dynamics, Gravity Waves, Late and Early-time Phenomenology
• Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term
• Viscous fluid holographic inflation
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Geometrical Destabilisation of Ultra-Light Axions in String Inflation
• Efficient self-resonance instability from axions
• Induced gravity effect on inflationary parameters in an holographic cosmology
• Holographic correspondence of $F(R)$ gravity with/without matter fields
• Holographic bounds and Higgs inflation
• Radiative Axion Inflation

Cited by in corpus (1)

• Barrow Holographic Dark Energy in Brane World Cosmology