Cluster gravitational redshifts: uncertainties and survey requirements

Abstract

We investigate the impact of observational and theoretical uncertainties in cluster gravitational redshifts as a probe of modified gravity using an end-to-end forecasting pipeline. We use a generative model to build a halo catalogue with $M_{500}\ge 3\times 10^{13}{M}_{\odot }$, populate haloes with member galaxies via a five-parameter halo occupation distribution (HOD), assign projected positions from radial density profiles, apply survey-like selections, and infer a linear rescaling of the gravitational potential, ${\alpha }_{\mathrm{MG}}$, to parameterise modifications to general relativity (GR). We vary redshift uncertainties, radial and mass-redshift completeness, member abundance, minimum mass and maximum redshift, as well as mis-specify the clusters density and velocity profiles, centres, and mass function. We find that the intracluster velocity dispersion sets an effective floor: improving redshift precision beyond ${\sigma }_z\sim 10^{-4}(1+z)$ brings no improvement in the precision of ${\alpha }_{\mathrm{MG}}$. Realistic redshift and mass cuts primarily remove low-mass haloes and have minimal impact on the ${\alpha }_{\mathrm{MG}}$ precision. In this setting, we find that shallow, narrower spectroscopic surveys are preferable to deep, wide photometric ones for precise modified gravity constraints. We further find that mis-centring can mimic significant departures from GR. Baryonic deviations from a Navarro-Frenk-White profile and velocity anisotropies do not introduce appreciable biases. In the high-S/N regime of upcoming surveys, accurate determination of cluster centres will be essential to avoid interpreting systematic effects as new physics. The Spectroscopic Stage-5 Experiment and the Widefield Spectroscopic Telescope provide a clear route toward establishing gravitational redshifts as a competitive probe of modified gravity.

13 pages, 5 figures, accepted by MNRAS

References in corpus (49)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark Energy after GW170817: dead ends and the road ahead
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Euclid. I. Overview of the Euclid mission
• Dark matter halo properties of GAMA galaxy groups from 100 square degrees of KiDS weak lensing data
• Dynamical Masses in Modified Gravity
• An overview of what current data can (and cannot yet) say about evolving dark energy
• CoMaLit III. Literature Catalogs of weak Lensing Clusters of galaxies (LC^2)
• The GLASS-JWST Early Release Science Program. III. Strong lensing model of Abell 2744 and its infalling regions
• Breaking Beta: A comparison of mass modelling methods for spherical systems
• Offset between X-ray and optical centers in clusters of galaxies: connecting eROSITA data and simulations
• Fast full N-body simulations of generic modified gravity: conformal coupling models
• Gravitational Redshift of Galaxies in Clusters from the Sloan Digital Sky Survey and the Baryon Oscillation Spectroscopic Survey
• A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in $f(R)$ gravity
• Comparing gravitational redshifts of SDSS galaxy clusters with the magnification redshift enhancement of background BOSS galaxies
• Gravitational redshift and asymmetric redshift-space distortions for stacked clusters
• Gravitational Redshift Constraints on the Effective Theory of Interacting Dark Energy
• A general framework to test gravity using galaxy clusters IV: Cluster and halo properties in DGP gravity
• The e-MANTIS emulator: fast predictions of the non-linear matter power spectrum in $f(R)$CDM cosmology
• Incorporating baryon-driven contraction of dark matter halos in rotation curve fits
• A single parameterization for dark energy and modified gravity models
• Dynamical analysis of clusters of galaxies from cosmological simulations
• Gravitational redshifting of galaxies in the SPIDERS cluster catalogue
• The Wide-field Spectroscopic Telescope (WST) Science White Paper
• Testing screened modified gravity with SDSS-IV-MaNGA
• A field-level emulator for modeling baryonic effects across hydrodynamic simulations
• Testing General Relativity: new measurements of gravitational redshift in galaxy clusters
• A general framework to test gravity using galaxy clusters VI: Realistic galaxy formation simulations to study clusters in modified gravity
• Fully relativistic predictions in Horndeski gravity from standard Newtonian N-body simulations
• Disentangling modified gravity from a dark force with gravitational redshift
• Constraining modified gravity scenarios with the 6dFGS and SDSS galaxy peculiar velocity datasets
• Mass Modeling and Kinematics of Galaxy Clusters in Modified Gravity
• Cross-correlation Weak Lensing of SDSS galaxy Clusters II: Cluster Density Profiles and the Mass--Richness Relation
• Galaxy cluster virial quantities from extrapolating strong lensing mass profiles
• BASILISK II. Improved Constraints on the Galaxy-Halo Connection from Satellite Kinematics in SDSS
• Testing Refracted Gravity with kinematics of galaxy clusters
• The resummation model in FLAMINGO: precisely predicting matter power suppression from observed halo baryon fractions
• CLASH-VLT: The variance in the velocity anisotropy profiles of galaxy clusters
• The Spectroscopic Stage-5 Experiment
• CLASH-VLT velocity anisotropy profiles in a stack of massive galaxy clusters
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python
• Gravitational Redshift from Galaxy Clusters -- a Relativistic Approach
• Cluster properties as a function of dynamical state in the DESI Legacy x UNIONS surveys
• Testing the Equivalence Principle in Galaxy Clusters
• Euclid preparation. Simulated galaxy catalogues for non-standard cosmological models
• 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
• Beyond general relativity: probing gravity with gravitational redshifts