Testing $f(R)$ Gravity With Scale Dependent Cosmic Void Velocity Profiles

Abstract

We study the impact of cosmological scale modifications to General Relativity on the dynamics of halos within voids by comparing N-body simulations incorporating Hu-Sawicki $f(R)$ gravity, with $|f_{R0}|=10^{-6}$ and $10^{-5}$, to those of $\Lambda$CDM. By examining the radial velocity statistics within voids classified based on their size and density-profile, as "rising" ($R$-type) or "shell" ($S$-type), we find that halo motions in small $R$-type voids, with effective radius $<15Mpc/h$, reveal distinctive differences between $f(R)$ and $\Lambda$CDM cosmologies. To understand this observed effect, we study the linear and nonlinear fifth forces, and develop an iterative algorithm to accurately solve the non-linear fifth force equation. We use this to characterize the Chameleon screening mechanism in voids and contrast the behavior with that observed in gravitationally collapsed objects. The force analysis underscores how smaller $R$-type voids exhibit the highest ratios of fifth force to Newtonian force, which source distinguishable differences in the velocity profiles and thereby provide rich environments in which to constrain gravity.

16 pages, 9 figures, void catalogs including density and radial velocity profiles and analysis codes including method to calculate the 5th force within voids in f(R) gravity can be downloaded from https://github.com/CornellCosmology/Void_fR_velocity_profiles. Updated to match published version in PRD

References in corpus (17)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• ZOBOV: a parameter-free void-finding algorithm
• Beyond BAO: improving cosmological constraints from BOSS with measurement of the void-galaxy cross-correlation
• A detection of the integrated Sachs-Wolfe imprint of cosmic superstructures using a matched-filter approach
• Precision cosmology with voids in the final BOSS data
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: geometry and growth from the anisotropic void-galaxy correlation function in the luminous red galaxy sample
• The lensing and temperature imprints of voids on the Cosmic Microwave Background
• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• Self-similarity and universality of void density profiles in simulation and SDSS data
• Redshift-space effects in voids and their impact on cosmological tests. Part I: the void size function
• The Gravitational Lensing Signatures of BOSS Voids in the Cosmic Microwave Background
• Tracing the gravitational potential using cosmic voids
• Revisiting the screening mechanism in $f(R)$ gravity
• Evolution of density and velocity profiles of dark matter and dark energy in spherical voids

Cited by in corpus (14)

• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Euclid: Forecasts from redshift-space distortions and the Alcock-Paczynski test with cosmic voids
• Why Cosmic Voids Matter: Nonlinear Structure & Linear Dynamics
• Machine-learning cosmology from void properties
• Challenges in Constraining Gravity with Cosmic Voids
• Chameleon Screening in Cosmic Voids
• Fingerprints of modified gravity on galaxies in voids
• Unveiling the Universe with Emerging Cosmological Probes
• Kerr-scalaron metric and astronomical consequences near the Galactic Center black hole
• Void Lensing in Cubic Galileon Gravity
• Cosmic voids and induced hyperbolicity. III. tracing redshift dependence
• $f(R)$ gravity in the solar system and cosmological scalarons
• Cosmological Constraints with Void Lensing I: the Simulation-Based Inference Framework
• Ringing the universe with cosmic emptiness: void properties through a combined analysis of stacked weak gravitational and Doppler lensing