Relation between the Turnaround radius and virial mass in $f(R)$ model

Abstract

We investigate the relationship between the turnaround radius ($R_t$) and the virial mass ($M_v$) of cosmic structures in the context of $\Lambda$CDM model and in an $f(R)$ model of modified gravity -- namely, the Hu-Sawicki model. The $R_t$ is the distance from the center of the cosmic structure to the shell that is detaching from the Hubble flow at a given time, while the $M_v$ is defined, for this work, as the mass enclosed within the volume where the density is $200$ times the background density. We consider that gravitationally bound astrophysical systems follow a Navarro-Frenk-White density profile, while beyond the virial radius ($R_v$) the profile is approximated by the 2-halo term of the matter correlation function. By combining them together with the information drawn from solving the spherical collapse for the structures, we are able to connect two observables: the $R_t$ and the $M_v$. We show that, in $\Lambda$CDM, the turnaround mass ($M_t$) at $z=0$ is related to the $M_v$ of that same structure by $M_t\simeq 3.07M_v$, while in terms of the radii we have that $R_t\simeq 3.7R_v$ (for $M_v$ of $10^{13}{h}^{-1}{M}_{\odot }$). In the $f(R)$ model, we have $M_t\simeq 3.43M_v$ and $R_t\simeq 4.1R_v$, for $|f_{R0}|=10^{-6}$ and the same mass scale. Therefore, the difference between $\Lambda$CDM and $f(R)$ in terms of these observable relations is of order $\sim 10-20\%$ even for a relatively mild strength of the modification of gravity ($|f_{R0}|=10^{-6}$). For the $R_t$ itself we find a difference of $\sim 9\%$ between the weakly modification in gravity considered in this work ($|f_{R0}|=10^{-6}$) and $\Lambda$CDM for a mass of $10^{13}{h}^{-1}{M}_{\odot }$. Once observations allow precisions of this order or better in measurements $R_t$, as well as the $M_v$, these quantities will become powerful tests of modified gravity.

arXiv comment17 pages, 5 figures. Comments are welcome

References in corpus (50)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• f(R) Theories Of Gravity
• Profiles of dark haloes: evolution, scatter, and environment
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Halo Models of Large Scale Structure
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Cosmology
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Using the Evolution of Clusters to Constrain Omega
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• The splashback radius as a physical halo boundary and the growth of halo mass
• CIRS: Cluster Infall Regions in the Sloan Digital Sky Survey I. Infall Patterns and Mass Profiles
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Stability of Cosmological Solution in f(R) Models of Gravity
• Testing gravity with CAMB and CosmoMC
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Gravitational collapse in f(R) theories
• Understanding the shape of the halo-mass and galaxy-mass cross-correlation functions
• New constraints on $f(R)$ gravity from clusters of galaxies
• The Splashback Feature around DES Galaxy Clusters: Galaxy Density and Weak Lensing Profiles
• Spherical collapse and halo mass function in f(R) theories
• Spherical Collapse in f(R) Gravity
• Where the world stands still: turnaround as a strong test of ΛCDM cosmology
• Modelling Void Abundance in Modified Gravity
• Theoretical and observational constraints of viable f(R) theories of gravity
• Splashback in galaxy clusters as a probe of cosmic expansion and gravity
• Constraining Dark Energy through the Stability of Cosmic Structures
• Structure Formation in Modified Gravity Scenarios
• Spherical Collapse and Cluster Counts in Modified Gravity Models
• Testing phenomenological and theoretical models of dark matter density profiles with galaxy clusters
• The maximum sizes of large scale structures in alternative theories of gravity
• A Bound Violation on the Galaxy Group Scale: The Turn-Around Radius of NGC 5353/4
• Turnaround radius in $f(R)$ model
• Testing Lambda CDM cosmology at turnaround: where to look for violations of the bound?
• Splashback radius of nonspherical dark matter halos from cosmic density and velocity fields
• Intrinsic Alignments and Splashback Radius of Dark Matter Halos from Cosmic Density and Velocity Fields
• The Effect of Modified Gravity on the Odds of the Bound Violations of the Turn-Around Radii
• Effects of modified gravity on the turnaround radius in cosmology
• Cosmic flow around local massive galaxies
• Calculation of the critical overdensity in the spherical-collapse approximation
• Cosmic structure sizes in generic dark energy models
• Estimating the Turn-Around Radii of Six Isolated Galaxy Groups in the Local Universe
• Mass estimation in the outer non-equilibrium region of galaxy clusters
• A new approach to cosmological perturbations in f(R) models
• Turnaround overdensity as a cosmological observable: the case for a local measurement of $\Lambda$
• Haloes at the ragged edge: The importance of the splashback radius

Cited by in corpus (14)

• Cosmic voids in modified gravity scenarios
• The Halo Void (Dust) Model of Large Scale Structure
• A short review on clustering dark energy
• Turnaround radius of galaxy clusters in N-body simulations
• Distinguishing cosmologies using the turn-around radius near galaxy clusters
• Turnaround density as a probe of the cosmological constant
• Cosmology in the non-linear regime : the small scale miracle
• Turnaround physics beyond spherical symmetry
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies II: the role of dark energy
• The maximum turnaround radius for axisymmetric cosmic structures
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies
• Turnaround density evolution encodes cosmology in simulations
• Turnaround radius in scalar-tensor gravity with quasilocal mass
• Mass scaling relations for dark halos from an analytic universal outer density profile