Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe

Abstract

Background cosmological dynamics for a universe with matter, a scalar field non-minimally derivative coupling to Einstein tensor under power-law potential and holographic vacuum energy is considered here. The holographic IR cutoff scale is apparent horizon which, for accelerating universe, forms a trapped null surface in the same spirit as blackhole's event horizon. For non-flat case, effective gravitational constant cannot be expressed in the Friedmann equation. Therefore holographic vacuum density is defined with standard gravitational constant instead of the effective one. Dynamical and stability analysis shows four independent fixed points. One fixed point is stable and it corresponds to $w_{\text{eff}}=-1$. One branch of the stable fixed-point solutions corresponds to de-Sitter expansion. The others are either unstable or saddle nodes. Numerical integrations of the dynamical system are performed and plotted confronting with $H(z)$ data. It is found that for flat universe, $H(z)$ observational data favors large negative value of NMDC coupling, $\kappa$. Larger holographic contribution, $c$, and larger negative NMDC coupling increase slope and magnitude of the $w_{\text{eff}}$ and $H(z)$. Negative $\kappa$, can contribute to phantom equation of state, $w_{\text{eff}}<-1$. The NMDC-spatial curvature coupling could have phantom energy contribution. Free negative spatial curvature term can also contribute to phantom equation of state, but only with significantly large negative value of the spatial curvature. The model could give phantom equation of state for $\kappa =-200$ and high value of $c$ for both flat and open cases.

arXiv comment15 pages, 4 figures

References in corpus (98)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Modified Gravity and Cosmology
• The World as a Hologram
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• Extended Theories of Gravity
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Phantom Energy and Cosmic Doomsday
• In the Realm of the Hubble tension $-$ a Review of Solutions
• A Model of Holographic Dark Energy
• The galileon as a local modification of gravity
• The holographic principle
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Dark Energy Constraints from the Cosmic Age and Supernova
• Generalized G-inflation: Inflation with the most general second-order field equations
• Covariant Galileon
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Quintom Cosmology: Theoretical implications and observations
• A Covariant Entropy Conjecture
• Entropy Bounds and Dark Energy
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Holographic dark energy and cosmic coincidence
• Can dark energy evolve to the Phantom?
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• New physics in light of the $H_0$ tension: an alternative view
• Probable Values of the Cosmological Constant in a Holographic Theory
• Holographic Dark Energy
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Testing General Relativity in Cosmology
• Infrared cut-off proposal for the Holographic density
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Timescale Stretch Parameterization of Type Ia Supernova B-band Light Curves
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• Hessence: A New View of Quintom Dark Energy
• H0 Revisited
• New infrared cut-off for the holographic scalar fields models of dark energy
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Exact cosmological solutions with nonminimal derivative coupling
• Holographic dark energy models: A comparison from the latest observational data
• Cosmology with Nonminimal Derivative Couplings
• Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
• 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
• Extended Holographic dark energy
• The Holographic Principle for General Backgrounds
• Cosmological Constraints on New Agegraphic Dark Energy
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
• UV-Protected Inflation
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• Observational tests of inflation with a field derivative coupling to gravity
• Dark Energy: Mystery of the Millennium
• Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
• P-nflation: generating cosmic Inflation with p-forms
• When scalar field is kinetically coupled to the Einstein tensor
• Holographic dark energy model with non-minimal coupling
• How the Dark Energy Can Reconcile \textit{Planck} with Local Determination of the Hubble Constant
• General Non-minimal Kinetic coupling to gravity
• Realistic cosmological scenario with non-minimal kinetic coupling
• Dark energy model with higher derivative of Hubble parameter
• Comparison of dark energy models after Planck 2015
• Light-sheets and Bekenstein's bound
• Inflationary models with non-minimally derivative coupling
• Casimir Energy, Holographic Dark Energy and Electromagnetic Metamaterial Mimicking de Sitter
• Reheating in nonminimal derivative coupling model
• A Critique of Holographic Dark Energy
• Fab Four: When John and George play gravitation and cosmology
• Holographic hessence models
• Cosmic age problem revisited in the holographic dark energy model
• Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings
• Non-minimal kinetic coupling and the phenomenology of dark energy
• Inflation driven by scalar field with non-minimal kinetic coupling with Higgs and quadratic potentials
• The Coincidence Problem and Interacting Holographic Dark Energy
• Can Holographic dark energy models fit the observational data?
• Non-minimal derivative coupling gravity in cosmology
• Model selection and constraints from Holographic dark energy scenarios
• Modified Holographic energy density driven inflation and some cosmological outcomes
• Particle Production after Inflation with Non-minimal Derivative Coupling to Gravity
• Reheating predictions in Gravity Theories with Derivative Coupling
• The universe dominated by oscillating scalar with non-minimal derivative coupling to gravity
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• Cosmology of a generalised version of holographic dark energy in presence of bulk viscosity and its inflationary dynamics through slow roll parameters
• Cosmology with nonminimal kinetic coupling and a Higgs-like potential
• Cosmology of non-minimal derivative coupling to gravity in Palatini formalism and its chaotic inflation
• Cosmology with non-minimal coupled gravity: inflation and perturbation analysis
• General dynamical properties of cosmological models with nonminimal kinetic coupling
• Holographic Dark Energy Model and Scalar-Tensor Theories
• Non-existence of Extended Holographic Dark Energy with Hubble Horizon
• Ricci curvature non-minimal derivative coupling cosmology with field re-scaling
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant

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