Cluster Abundance Constraints on Quintessence Models

Abstract

The abundance of rich clusters is a strong constraint on the mass power spectrum. The current constraint can be expressed in the form ${\sigma }_8{\Omega }_m^{\gamma }=0.5\pm 0.1$ where ${\sigma }_8$ is the $rms$ mass fluctuation on 8 $h^{-1}$ Mpc scales, ${\Omega }_m$ is the ratio of matter density to the critical density, and $\gamma$ is model-dependent. In this paper, we determine a general expression for $\gamma$ that applies to any models with a mixture of cold dark matter plus cosmological constant or quintessence (a time-evolving, spatially-inhomogeneous component with negative pressure) including dependence on the spectral index $n$, the Hubble constant $h$, and the equation-of-state of the quintessence component $w$. The cluster constraint is combined with COBE measurements to identify a spectrum of best-fitting models. The constraint from the evolution of rich clusters is also discussed.

19 pages, 4 figures, submitted to ApJ

References in corpus (1)

• The Most Massive Distant Clusters: Determining Omega and sigma_8

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• Observational constraints on the oscillating dark energy cosmologies
• A MUSE view of the massive merging galaxy cluster ACT-CL J0102-4915 (El Gordo) at z = 0.87: robust strong lensing model and data release
• A clustering-based self-calibration of the richness-to-mass relation of CAMIRA galaxy clusters out to $z\approx 1.1$ in the Hyper Suprime-Cam survey
• Imprints of interacting dark energy on cosmological perturbations
• Improving Fisher matrix forecasts for galaxy surveys: window function, bin cross-correlation, and bin redshift uncertainty
• Consistency of LCDM with Geometric and Dynamical Probes
• The growth of matter perturbations in the f(T) gravity
• Growth index of matter perturbations in the light of Dark Energy Survey
• Planck-PR4 anisotropy spectra show (better) consistency with General Relativity
• Weak gravitational lensing of intrinsically aligned galaxies
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
• Dark energy and supermassive black holes
• Halo collapse: virialization by shear and rotation in dynamical dark-energy models. Effects on weak-lensing peaks
• The nonlinear power spectrum in clustering quintessence cosmologies
• Reduced modified Chaplygin gas cosmology
• Robust constraints on dark energy and gravity from galaxy clustering data
• Probing the nature of cosmic acceleration
• Observational Constraints on Growth Index with Cosmography
• GCG Parametrization for Growth Function and Current Constraints
• Chaplygin gas may prevent big trip
• Precision cosmology with a combination of wide and deep Sunyaev-Zeldovich cluster surveys
• Spherical collapse model in agegraphic dark energy cosmologies
• Cluster Lensing of QSOs as a Probe of LCDM and Dark Energy Cosmologies
• Discriminating dark energy models by using the statefinder hierarchy and the growth rate of matter perturbations
• Sweeping Horndeski Canvas: New Growth-Rate Parameterization for Modified-Gravity Theories
• Improving cosmological constraints from galaxy cluster number counts with CMB-cluster-lensing data: Results from the SPT-SZ survey and forecasts for the future
• The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect: A 3D Spherical Analysis
• Diagnosing Tsallis Holographic Dark Energy models with interactions
• Dark energy versus modified gravity: Impacts on measuring neutrino mass
• Indistinguishability of Warm Dark Matter, Modified Gravity, and Coupled Cold Dark Matter
• Latest data constraint of some parameterized dark energy models
• Cosmological constraints on polytropic gas model
• Unmodified Gravity
• Tracing the Nature of Dark Energy with Galaxy Distribution
• Statefinder hierarchy exploration of the extended Ricci dark energy
• Cosmology models with Ω_M-dependent cosmological constant
• The growth factor parametrization versus numerical solutions in flat and non-flat dark energy models
• Time-Varying Dark Energy Constraints From the Latest SN Ia, BAO and SGL
• Reconstructing Cosmological Matter Perturbations using Standard Candles and Rulers
• Python I, II, and III CMB Anisotropy Measurement Constraints on Open and Flat-Lambda CDM Cosmogonies
• Can the degeneracies in the gravity sector be broken?
• A null test to probe the scale-dependence of the growth of structure as a test of General Relativity
• Gravitational instability on the brane: the role of boundary conditions
• Exploring the Redshift-Space Peculiar Velocity Field and its Power Spectrum
• Constraining DHOST theories with linear growth of matter density fluctuations
• Quintessence with a constant equation of state in hyperbolic universes
• f(T) cosmology against the cosmographic method: A new study using mock and observational data
• The SRG/eROSITA All-Sky Survey : Constraints on the structure growth from cluster number counts
• Cosmology of Chameleons with Power-Law Couplings
• Perturbations of the Lambda-CDM model in a dynamical systems perspective
• Neutrino mass tension or suppressed growth rate of matter perturbations?
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Dynamics and Constraints of the Massive Gravitons Dark Matter Flat Cosmologies
• Dynamics and constraints of the dissipative Liouville cosmology
• Holographic dark energy described at the Hubble length
• Implications of bias evolution on measurements of the integrated Sachs-Wolfe effect: errors and biases in parameter estimation
• Cosmological constrains from X-ray AGN clustering and SNIa data
• Parameter likelihood of intrinsic ellipticity correlations
• Equilibrium of large astrophysical structures in the Newton-Hooke spacetime
• Exploring the Growth Index ${\gamma }_L$: Insights from Different CMB Dataset Combinations and Approaches
• Structure formation in dark energy cosmologies described by PADE parameterization
• The End of Cosmic Growth
• Spherical collapse in Generalized Dark Matter models
• Properties of the exact analytic solution of the growth factor and its applications
• Scalar field-perfect fluid correspondence and nonlinear perturbation equations
• Spherical collapse with dark energy
• Long time black hole evaporation with bounded Hawking flux
• Testing model independent modified gravity with future large scale surveys
• An extended analysis for a generalized Chaplygin gas model
• Sub-Quantum Dark Energy
• Future Island Universes in a Background Universe Accelerated by Cosmological Constant and by Quintessence
• The VIMOS VLT Deep Survey: Testing the gravitational instability paradigm at z ~ 1
• Distinguishing between $\Lambda$CDM and $f(R)$ gravity models using halo ellipticity correlations in simulations
• A Consistent Comparison of Bias Models using Observational Data
• Quintessence as k-essence
• Classifying the Future of Universes with Dark Energy
• An updated analysis of two classes of f(R) theories of gravity
• Diagnosing the R$\acute{e}$nyi Holographic Dark Energy model in a flat Universe
• Quintessence-the Dark Energy in the Universe?
• Constraining dark sector perturbations I: cosmic shear and CMB lensing
• The evolution of high-density cores of the BOSS Great Wall superclusters
• Reconstruction of the null-test for the matter density perturbations
• Perfect fluids with $\omega =\mathrm{const}$ as sources of scalar cosmological perturbations
• Statistics of gravitational potential perturbations: A novel approach to deriving the X-ray temperature function
• Impact of early dark energy on the Planck SZ cluster sample
• Describing variations of the Fisher-matrix across parameter space
• Parameter constraints from weak lensing tomography of galaxy shapes and cosmic microwave background fluctuations
• Constraining the CDM spectrum normalization in flat dark energy cosmologies
• A theoretical estimate of intrinsic ellipticity bispectra induced by angular momenta alignments
• Dynamics of minimally coupled dark energy in spherical halos of dark matter
• Vacuum Energy: Cosmological Constant or Quintessence?
• On the newtonian limit and cut--off scales of isothermal dark matter halos with cosmological constant
• Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
• Reconstruction of cosmological matter perturbations in Modified Gravity
• Global properties of the growth index of matter inhomogeneities in the universe
• Constraining thawing and freezing models with cluster number counts
• A joint 2- and 3-point clustering analysis of the VIPERS PDR2 catalogue at z~1: breaking the degeneracy of cosmological parameters
• Galaxy-QSO Correlation induced by Weak Gravitational Lensing arising from Large-Scale Structure
• ISW-LSS cross-correlation in coupled Dark Energy models with massive neutrinos
• Ellipsoidal configurations in the de Sitter spacetime
• Linear matter density perturbations in the ${\Lambda }_{\mathrm{s}}$CDM model: Examining growth dynamics and addressing the $S_8$ tension
• From Global to Local Dynamics: Effects of the Expansion on Astrophysical Structures
• Probing dark energy via galaxy cluster outskirts
• Parametrization for the Scale Dependent Growth in Modified Gravity
• The generalized evolution of linear bias: a tool to test gravity
• Evolution of Spherical Overdensity in Thawing Dark energy Models
• Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability
• Cluster abundance and large scale structure
• Two per cent measurement of $H_0$ from Cepheids alone
• The cosmology of $f(R,L_m)$ gravity: constraining the background and perturbed dynamics
• Reconstructing the growth index $\gamma$ with Gaussian Processes
• Imitating intrinsic alignments: A bias to the CMB lensing-galaxy shape cross-correlation power spectrum induced by the large-scale structure bispectrum
• Testing General Relativity Using the Evolution of Linear Bias
• Scaling Dark Energy in a Five-Dimensional Bouncing Cosmological Model
• Wiggly cosmic strings accrete dark energy
• Detecting baryon acoustic oscillations by 3d weak lensing
• Constraining Cosmological Parameters using the Cluster Mass-Richness Relation
• Probing cosmology with weak lensing selected clusters II: Dark energy and f(R) gravity models
• Using clusters in SZE + x-ray surveys as an ensemble of rulers to constrain cosmology
• Virialization of matter overdensities within dark energy subsystems: special cases
• Global properties of the growth index: mathematical aspects and physical relevance
• Dynamical evolutin of quintessence dark energy in collapsing dark matter halos
• Combining Weak Lensing Tomography with Halo Clustering to Probe Dark Energy
• The influence of primordial magnetic fields on the spherical collapse model in cosmology
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• $K$-essence model from the mechanical approach point of view: coupled scalar field and the late cosmic acceleration
• Non-linear cosmological collapse of quintessence
• Generalizing thawing dark energy models: the standard vis-à-vis model independent diagnostics
• Is the misalignment of the Local Group velocity and the 2MASS Redshift Survey dipole typical in a LambdaCDM model?
• ${\Lambda }_{\mathrm{s}}$CDM cosmology from a type-II minimally modified gravity
• A weak lensing view on primordial non-Gaussianities
• The observational constraints on the flat $\varphi$CDM models
• Parameter estimation biases due to contributions from the Rees-Sciama effect to the integrated Sachs-Wolfe spectrum
• Modelling the two point correlation function of galaxy clusters in the Sloan Digital Sky Survey
• Improved parametrization of the growth index for dark energy and DGP models
• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• Studying Dark Energy with Galaxy Cluster Surveys
• Constraining Thawing Dark Energy using Galaxy Cluster Number Counts
• Gravitationally induced particle production and its impact on structure formation
• Spherical collapse model with and without curvature
• Is the CMB shift parameter connected with the growth of cosmological perturbations?
• Effects on the two-point correlation function from the coupling of quintessence to dark matter
• A Parameterized Variable Dark Energy Model: Structure Formation and Observational Constraints
• Simultaneous constraints on bias, normalization and growth index through power spectrum measurements
• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
• Cosmic expansion and structure formation in running vacuum cosmologies
• Hybrid Chaplygin gas and phantom divide crossing
• HD molecule and search for early structure-formation signatures in the Universe
• The SDSS Coadd: Cross-Correlation Weak Lensing and Tomography of Galaxy Clusters
• Consistency of Cubic Galileon Cosmology: Model-Independent Bounds from Background Expansion and Perturbative Analyses
• Constraints on scalar-tensor theories of gravity from observations
• Evolution of intrinsic ellipticity correlations due to peculiar motion
• Constraining Dark Energy From Splitting Angle Statistic of Strong Gravitational Lenses
• Voids and overdensities of coupled Dark Energy
• Two Component Baryonic-Dark Matter Structure Formation in Top-Hat Model
• Spherical Collapse Approach for Non-standard Dark Matter Models and Enhanced Early Galaxy Formation in JWST
• Scalar field descriptions of two dark energy models
• Acceptable Inverse Power Law Potential Quintessence with n=18/7
• Halo Growth and Merger Rates as a Cosmological Test
• Spherical collapse of non-top-hat profiles in the presence of dark energy with arbitrary sound speed
• Explaining JWST star formation history at $z\sim 17$ by modifying $\Lambda$CDM
• Optimizing the yield of Sunyaev-Zel'dovich cluster surveys
• X-ray cluster cosmology
• Non-linear Structure Formation for Dark Energy Models with a Steep Equation of State
• Structure formation in clustering DBI dark energy model with constant sound speed
• Observational constraints on the growth index parameters in $f(Q)$ gravity
• Non-linear density-velocity divergence relation from phase space dynamics
• Influence of the local Universe on weak gravitational lensing surveys
• The exact analytical solution of the linear structure growth rate in LCDM cosmology and its cosmological applications
• Optimising tomography for weak gravitational lensing surveys
• Gravitational corrections to light propagation in a perturbed FLRW-universe and corresponding weak lensing spectra
• Simulation studies of dark energy clustering induced by the formation of dark matter halos
• Improvements in the M-T relation and mass function and the measured Omega_m through clusters evolution
• On the consistency of the expansion with the perturbations
• Intracluster gas pressure, entropy injection and redshift evolution
• Measuring Cosmological Parameters with the SDSS QSO Spatial Power Spectrum Analysis to Test the Cosmological Principle
• Contributions to the nonlinear integrated Sachs-Wolfe effect: Birkinshaw-Gull effect and gravitational self-energy density
• Coupled scalar fields in the late Universe: The mechanical approach and the late cosmic acceleration
• Cosmological constraints on $R^2$-corrected Appleby-Battye model
• Structure formation and CMBR anisotropy spectrum in the inflessence model
• The growth of DM and DE perturbations in DBI non-canonical scalar field scenario
• Evolution of spherical over-densities in tachyon scalar field model
• The Effects of Relativistic Corrections on Cosmological Parameter Estimations from SZE Cluster Surveys
• Versatile parametrization of the perturbation growth rate on the phantom brane
• Constraining Dynamical Dark Energy Models through the Abundance of High-Redshift Supermassive Black Holes
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• The FLAMINGO project: cosmology with the redshift dependence of weak gravitational lensing peaks
• The Matter Power Spectrum of Dark Energy Models and the Harrison-Zel'dovich Prescription
• Power Spectrum Analysis of the 2dF QSO Sample Revisited
• A test of the Suyama-Yamaguchi inequality from weak lensing
• Relativistic virial relation for cosmological structures
• Impact of lensing magnification on the analysis of galaxy clustering in redshift space
• Ellipticity and prolaticity of the initial gravitational-shear field at the position of density maxima
• Teleparallel dark energy in a nonflat universe
• Statistical characteristics of simulated walls
• Growth rate of matter perturbations as a probe of large-scale magnetism
• Fisher matrix for multiple tracers: all you can learn from large-scale structure without assuming a model
• Integrated Sachs-Wolfe tomography with orthogonal polynomials
• Reconstructing matter profiles of spherically compensated cosmic regions in $\Lambda$CDM cosmology
• Measuring the growth of structure by matching dark matter haloes to galaxies with VIPERS and SDSS
• Optimizing the Evolution of Perturbations in the $\Lambda$CDM Universe
• Can Geometric Test Probe the Cosmic Equation of State ?
• Structure formation and quasi-spherical collapse from initial curvature perturbations with numerical relativity simulations
• Using Galaxy Cluster Peculiar Velocities to Constrain Cosmological Parameters
• Cluster formation and the Sunyaev-Zel'dovich power spectrum in modified gravity: the case of a phenomenologically extended DGP model
• The cluster abundance in cosmic string models for structure formation
• The Velocity Field Olympics: Assessing velocity field reconstructions with direct distance tracers
• Implications of Dynamical Dark Energy in the expansion of the Universe and the Structure Formation
• Galaxy and Mass Assembly (GAMA): Probing galaxy-group correlations in redshift space with the halo streaming model
• Tidal virialization of dark matter haloes with clustering dark energy
• The extent of gravitationally bound structure in a ΛCDM universe
• Diagnostic Approaches for Interacting generalized holographic Ricci Dark Energy Models
• A test for the redshift dependence of ${\sigma }_8$ using $f{\sigma }_8$ measurements
• Configurational Entropy in Chaplygin Gas Models
• Dynamical Oscillations in Dark Energy: Joint Constraints on the $w_{sin}$CDM Model from DESI, OHD, and Supernova Samples
• Realizing the phantom-divide crossing with vector and scalar fields
• Modified gravity with disappearing cosmological constant
• Effect of Dark Energy Perturbation on Cosmic Voids Formation
• An X-ray Galaxy Cluster Survey for Investigations of Dark Energy
• Evolution of the Deterministic Collapse Barrier of the Field Clusters as a Probe of Cosmology
• No evidence for local $H_0$ anisotropy from Tully--Fisher or supernova distances
• Classical and quantum quintessence cosmology
• AMR Simulations of the Cosmological Light Cone: SZE Surveys of the Synthetic Universe
• Phenomenological power spectrum models for H$\alpha$ emission line galaxies from the Nancy Grace Roman Space Telescope
• Can we constrain the dark energy equation of state parameters using configuration entropy?
• Non-linear evolution of the cosmological background density field as diagnostic of the cosmological reionization
• Evolution of spherical overdensities in new agegraphic dark energy model
• Lensing Noise in mm-wave Galaxy Cluster Surveys
• Reconstructing the Peculiar Velocity of the Local Group with Modified Gravity and 2MASS
• Cosmological constraints from galaxy clustering
• Variations of the Fine Structure Constant in Space and Time
• Large-scale structure formation in cosmology with classical and tachyonic scalar fields
• Redshift Sensitivity of the Kaiser Effect
• Tensorial Perturbations in an Accelerating Universe
• End equilibrium state of a spherical gravitational collapse in the presence of matter and scalar field
• Natures of Statefinder Parameters and Om Diagnostic for Cardassian Universe in Horava-Lifshitz Gravity
• A density-responsive scalar-field framework for singularity regularization and dynamical dark energy
• Towards a Composite Framework for Simultaneous Exploration of New Physics in Background and Perturbed Universe
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Linear and nonlinear clusterings of Horndeski-inspired dark energy models with fast transition
• Observational constraints and differential diagnosis for cosmic evolutionary models
• The Outskirt Stellar Mass of Low-Redshift Massive Galaxies is an Excellent Halo Mass Proxy in Illustris/IllustrisTNG Simulations
• Density pertubation of unparticle dark matter in the flat Universe
• CDM and Baryons as Distinct Fluids in a Linear Approximation for the Growth of Structure
• Perspectives for studying the dark energy at z>2 with galaxy surveys
• Dark Energy After DESI DR2: Observational Status, Reconstructions, and Physical Models
• Forecast constraints on null tests of the $\Lambda$CDM model with SPHEREx
• Can dark energy explain a high growth index?
• Constraints on the normal branch of DGP gravity from SPT galaxy clusters with DES and HST weak-lensing mass calibration and from Planck PR4 CMB anisotropies
• At the Edge of Uncertainty: Decoding the Cosmological Constant value with Bose-Einstein Distribution
• Correlation of structure growth index with current cosmic acceleration: constraints on dark energy models
• Prospects for constraining quasar ages with fiber spectrographs: quasar-induced Ly$\alpha$ emission from the intergalactic medium
• Holes within galaxies: the egg or the hen?
• Cross bispectra and trispectra of the non-linear integrated Sachs-Wolfe effect and the tracer galaxy density field
• Improving cosmological constraints via galaxy intrinsic alignment in full-shape analysis
• Probing gravity beyond general relativity with bispectrum multipoles of cosmological tracers: I. Theoretical Foundations
• Structure formation in a non-canonical scalar field model of clustering dark energy
• Void spin distribution as a powerful probe of ${\sigma }_8$
• Diagnostics and future evolution analysis of the two parametric models
• Signatures of Extended Dark Energy Parametrisations in Structure Formation under Background Constraints
• Is cosmic expansion of the universe accelerating?
• Probing gravity with non-linear clustering in redshift space
• Coupling dark-baryonic matter density profile for vacuum decay scenarios
• The creation of radiation and the relic of inflaton potential
• Implications of a high growth index on the variation of $G$
• Evolution of matter perturbations in the context of cosmic slowing down
• $S_8$ from peculiar velocities: agreement with Planck for Tully--Fisher and supernovae, tension for the fundamental plane
• Uniformity of Cosmic Microwave Background as a Non-Inflationary Geometrical Effect
• On the sensitivity of weak gravitational lensing to the cosmic expansion function
• The richest clusters in the Coma and Leo superclusters: Properties and evolution