Large-scale stable interacting dark energy model: Cosmological perturbations and observational constraints

Abstract

Dark energy might interact with cold dark matter in a direct, nongravitational way. However, the usual interacting dark energy models (with constant $w$) suffer from some catastrophic difficulties. For example, the $Q\propto {\rho }_{\mathrm{c}}$ model leads to an early-time large-scale instability, and the $Q\propto {\rho }_{\mathrm{de}}$ model gives rise to the future unphysical result for cold dark matter density (in the case of a positive coupling). In order to overcome these fatal flaws, we propose in this paper an interacting dark energy model (with constant $w$) in which the interaction term is carefully designed to realize that $Q\propto {\rho }_{\mathrm{de}}$ at the early times and $Q\propto {\rho }_{\mathrm{c}}$ in the future, simultaneously solving the early-time superhorizon instability and future unphysical ${\rho }_{\mathrm{c}}$ problems. The concrete form of the interaction term in this model is $Q=3\beta H\frac{{\rho }_{\mathrm{de}}{\rho }_{\mathrm{c}}}{{\rho }_{\mathrm{de}}+{\rho }_{\mathrm{c}}}$, where $\beta$ is the dimensionless coupling constant. We show that this model is actually equivalent to the decomposed new generalized Chaplygin gas (NGCG) model, with the relation $\beta =-\alpha w$. We calculate the cosmological perturbations in this model in a gauge-invariant way and show that the cosmological perturbations are stable during the whole expansion history provided that $\beta >0$. Furthermore, we use the Planck data in conjunction with other astrophysical data to place stringent constraints on this model (with eight parameters), and we find that indeed $\beta >0$ is supported by the joint constraint at more than 1$\sigma$ level. The excellent theoretical features and the support from observations all indicate that the decomposed NGCG model deserves more attention and further investigation.

arXiv comment13 pages, 3 figures; V2: appendix B (including a new figure) added; version accepted by Physical Review D; V3: matching the publication version

References in corpus (70)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Cosmological parameters from SDSS and WMAP
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Coupled Quintessence
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• The Second Data Release of the Sloan Digital Sky Survey
• Small Scale Cosmological Perturbations: An Analytic Approach
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• The Third Data Release of the Sloan Digital Sky Survey
• Scaling solutions in general non-minimal coupling theories
• Interacting Quintessence
• Interacting quintessence solution to the coincidence problem
• Interacting Dark Matter and Dark Energy
• Large-scale instability in interacting dark energy and dark matter fluids
• Probing the Coupling between Dark Components of the Universe
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• Dynamics of dark energy with a coupling to dark matter
• Dynamics of interacting dark energy
• Effects of the interaction between dark energy and dark matter on cosmological parameters
• Statefinder diagnostic for coupled quintessence
• Interactions in Scalar Field Cosmology
• Dark Energy and Dark Matter
• Observational constraints on interacting quintessence models
• Baryon bias and structure formation in an accelerating universe
• Dark coupling
• New generalized Chaplygin gas as a scheme for unification of dark energy and dark matter
• Large-scale curvature and entropy perturbations for multiple interacting fluids
• Stability of the curvature perturbation in dark sectors' mutual interacting models
• Interacting Dark Energy -- constraints and degeneracies
• Dark Interactions and Cosmological Fine-Tuning
• Constraining Interactions in Cosmology's Dark Sector
• New constraints on Coupled Dark Energy from Planck
• Probing interaction and spatial curvature in the holographic dark energy model
• Cosmological coincidence problem in interacting dark energy models
• Coupled Quintessence in a Power-Law Case and the Cosmic Coincidence Problem
• A Low CMB Quadrupole from Dark Energy Isocurvature Perturbations
• Growth of perturbations in dark matter coupled with quintessence
• Statefinder diagnosis for the interacting model of holographic dark energy
• Planck Constraints on Holographic Dark Energy
• Adiabatic initial conditions for perturbations in interacting dark energy models
• The imprint of the interaction between dark sectors in large scale cosmic microwave background anisotropies
• Some Issues Concerning Holographic Dark Energy
• Velocities as a probe of dark sector interactions
• On the Dark Sector Interactions
• On the large-scale instability in interacting dark energy and dark matter fluids
• Cosmological constraints on a decomposed Chaplygin gas
• Dark Coupling and Gauge Invariance
• Running coupling: Does the coupling between dark energy and dark matter change sign during the cosmological evolution?
• Quintessence with quadratic coupling to dark matter
• Can Dark Matter Decay in Dark Energy?
• Revisit of the Interaction between Holographic Dark Energy and Dark Matter
• A model of interacting holographic dark energy at the Ricci's scale
• The imprint of the interaction between dark sectors in galaxy clusters
• Alleviation of Cosmic Age Problem In Interacting Dark Energy Model
• Late universe dynamics with scale-independent linear couplings in the dark sector
• Interacting model of new agegraphic dark energy: observational constraints and age problem
• Gauge-Invariant Initial Conditions and Early Time Perturbations in Quintessence Universes
• Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar Field-Dark Matter Models
• Cosmic age problem revisited in the holographic dark energy model
• The effect of Dark Matter and Dark Energy interactions on the peculiar velocity field and the kinetic Sunyaev-Zel'dovich effect
• Cosmological Perturbations in Models of Coupled Dark Energy
• Higher-order coupled quintessence
• Exploring the evolution of color-luminosity parameter $\beta$ and its effects on parameter estimation
• The signature of the scattering between dark sectors in large scale cosmic microwave background anisotropies

Cited by in corpus (78)

• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Tale of stable interacting dark energy, observational signatures, and the $H_0$ tension
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Constraints on Interacting Dark Energy Models from the DESI Baryon Acoustic Oscillation and DES Supernovae Data
• Large-scale Stability and Astronomical Constraints for Coupled Dark-Energy Models
• Observational constraints on sign-changeable interaction models and alleviation of the $H_0$ tension
• Listening to the sound of dark sector interactions with gravitational wave standard sirens
• Parametrized Post-Friedmann Framework for Interacting Dark Energy
• On phenomenological models of dark energy interacting with dark matter
• Interacting quintessence from a variational approach Part II: derivative couplings
• Testing coupled dark energy with large scale structure observation
• Exploring the full parameter space for an interacting dark energy model with recent observations including redshift-space distortions: Application of the parametrized post-Friedmann approach
• Testing models of vacuum energy interacting with cold dark matter
• Comparison of dark energy models after Planck 2015
• Revisit of the interacting holographic dark energy model after Planck 2015
• Post-$Planck$ constraints on interacting vacuum energy
• Coupled dark energy with perturbed Hubble expansion rate
• Prospects for Constraining Interacting Dark Energy Models with 21 cm Intensity Mapping Experiments
• Weighing neutrinos in the scenario of vacuum energy interacting with cold dark matter: application of the parameterized post-Friedmann approach
• AIC and BIC for cosmological interacting scenarios
• Cosmological constraints on coupled dark energy
• Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter
• Probing the imprint of interacting dark energy on very large scales
• Constraints on interacting dark energy models from time-delay cosmography with seven lensed quasars
• Large-scale (in-) stability Analysis of an Exactly Solved Coupled Dark-Energy Model
• Distinguishing interacting dark energy from wCDM with CMB, lensing, and baryon acoustic oscillation data
• Implications of the possible 21-cm line excess at cosmic dawn on dynamics of interacting dark energy
• Constraints on active and sterile neutrinos in an interacting dark energy cosmology
• Search for sterile neutrinos in a universe of vacuum energy interacting with cold dark matter
• Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
• Late-Time constraints on Interacting Dark Energy: Analysis independent of $H_0$, $r_d$ and $M_B$
• Effects of time-varying $\beta$ in SNLS3 on constraining interacting dark energy models
• Metastable dark energy models in light of Planck 2018: Alleviating the $H_0$ tension
• Using a multi-messenger and multi-wavelength observational strategy to probe the nature of dark energy through direct measurements of cosmic expansion history
• Exploring neutrino mass and mass hierarchy in interacting dark energy models
• A closer look at interacting dark energy with statefinder hierarchy and growth rate of structure
• Probing the sign-changeable interaction between dark energy and dark matter with current observations
• Cosmological perturbations in an effective and genuinely phantom dark energy Universe
• Revisiting the holographic dark energy in a non-flat universe: alternative model and cosmological parameter constraints
• Bayesian Comparison of Interacting Scenarios
• Exploring interacting holographic dark energy in a perturbed universe with parameterized post-Friedmann approach
• Models of vacuum energy interacting with cold dark matter: Constraints and comparison
• Searching for a matter bounce cosmology with low redshift observations
• Probing the interaction between dark energy and dark matter with future fast radio burst observations
• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
• Reexploration of interacting holographic dark energy model: Cases of interaction term excluding the Hubble parameter
• Quantifying the impact of future Sandage-Loeb test data on dark energy constraints
• Constraining the interaction between dark sectors with future HI intensity mapping observations
• IDECAMB: an implementation of interacting dark energy cosmology in CAMB
• The late Universe with non-linear interaction in the dark sector: the coincidence problem
• Cosmic sign-reversal: non-parametric reconstruction of interacting dark energy with DESI DR2
• Measuring cosmic curvature with non-CMB observations
• Dark energy versus modified gravity: Impacts on measuring neutrino mass
• Electron mass variation from dark sector interactions and compatibility with cosmological observations
• Scalar perturbations in cosmological models with dark energy - dark matter interaction
• From Hubble to Snap Parameters: A Gaussian Process Reconstruction
• Impacts of different SNLS3 light-curve fitters on cosmological consequences of interacting dark energy models
• Effects of a time-varying color-luminosity parameter $\beta$ on the cosmological constraints of modified gravity models
• Can dark matter-dark energy interaction alleviate the Cosmic Coincidence Problem?
• Revisiting the Instability Problem of Interacting Dark Energy Model in the Parametrized Post-Friedmann Framework
• Interacting phantom dark energy: new accelerating scaling attractors
• One-parameter dynamical dark-energy from the generalized Chaplygin gas
• Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
• Dark Energy and Modified Scale Covariant Theory of Gravitation
• Interacting parametrized post-Friedmann method
• Coupled Quintessence scalar field model in light of observational datasets
• One-loop power spectrum corrections in interacting dark energy cosmologies
• Cosmological constraints on the radiation released during structure formation
• Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-$\Lambda$CDM Interpretations, and Tensions
• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• Signature of the interaction between dark sectors in the reionization process
• Cosmic microwave background constraints on coupled dark matter
• Dissecting the $H_0$ and $S_8$ tensions with Planck + BAO + supernova type Ia in multi-parameter cosmologies
• Phantom cosmology with arbitrary potential: New accelerating scaling attractors
• Conditional variational autoencoders for cosmological model discrimination and anomaly detection in cosmic microwave background power spectra
• The model-independent degeneracy-breaking point in cosmological models with interacting Dark Energy and Dark Matter
• Dark radiation from a unified dark fluid model