Voids in Modified Gravity Reloaded: Eulerian Void Assignment

Abstract

We revisit the excursion set approach to calculate void abundances in chameleon-type modified gravity theories, which was previously studied by Clampitt, Cai and Li (2013). We focus on properly accounting for the void-in-cloud effect, i.e., the growth of those voids sitting in over-dense regions may be restricted by the evolution of their surroundings. This effect may change the distribution function of voids hence affect predictions on the differences between modified gravity and GR. We show that the thin-shell approximation usually used to calculate the fifth force is qualitatively good but quantitatively inaccurate. Therefore, it is necessary to numerically solve the fifth force in both over-dense and under-dense regions. We then generalise the Eulerian void assignment method of Paranjape, Lam and Sheth (2012) to our modified gravity model. We implement this method in our Monte Carlo simulations and compare its results with the original Lagrangian methods. We find that the abundances of small voids are significantly reduced in both modified gravity and GR due to the restriction of environments. However, the change in void abundances for the range of void radii of interest for both models is similar. Therefore, the difference between models remains similar to the results from the Lagrangian method, especially if correlated steps of the random walks are used. As Clampitt, Cai and Li (2013), we find that the void abundance is much more sensitive to modified gravity than halo abundances. Our method can then be a faster alternative to N-body simulations for studying the qualitative behaviour of a broad class of theories. We also discuss the limitations and other practical issues associated with its applications.

12 pages, 7 figures

References in corpus (54)

• Planck 2013 results. XVI. Cosmological parameters
• Modified Gravity and Cosmology
• Large scale bias and the peak background split
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Cosmology
• An analytic model for the spatial clustering of dark matter haloes
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• A hierarchy of voids: Much ado about nothing
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Cosmological Tests of Gravity
• An Imprint of Super-Structures on the Microwave Background due to the Integrated Sachs-Wolfe Effect
• Cosmic Voids in Sloan Digital Sky Survey Data Release 7
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• ECOSMOG: An Efficient Code for Simulating Modified Gravity
• Voids in the PSCz Survey and the Updated Zwicky Catalog
• Precision cosmography with stacked voids
• Non-linear evolution of f(R) cosmologies II: power spectrum
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Non-linear evolution of f(R) cosmologies I: methodology
• Halos and Voids in f(R) Gravity
• Voids in Modified Gravity: Excursion Set Predictions
• The darkness that shaped the void: dark energy and cosmic voids
• An excursion set model for the distribution of dark matter and dark matter haloes
• The abundance of voids and the excursion set formalism
• N-Body Simulations for Coupled Scalar Field Cosmology
• A first application of the Alcock-Paczynski test to stacked cosmic voids
• The Nonlinear Evolution of Rare Events
• First measurement of gravitational lensing by cosmic voids in SDSS
• The Halo Mass Function from Excursion Set Theory. II. The Diffusing Barrier
• Cosmology with Void-Galaxy Correlations
• Modified Gravity Makes Galaxies Brighter
• A measurement of the Alcock-Paczynski effect using cosmic voids in the SDSS
• Lensing Measurements of the Mass Distribution in SDSS Voids
• Photometric Properties of Void Galaxies in the Sloan Digital Sky Survey DR7 Data Release
• Peaks theory and the excursion set approach
• One step beyond: The excursion set approach with correlated steps
• A Possible Cold Imprint of Voids on the Microwave Background Radiation
• Detecting the integrated Sachs-Wolfe effect with stacked voids
• Excursion set peaks: a self-consistent model of dark halo abundances and clustering
• An Extended Excursion Set Approach to Structure Formation in Chameleon Models
• Structure Formation by Fifth Force I: N-Body vs. Linear Simulations
• Chameleon f(R) gravity in the virialized cluster
• On Random Walks with a General Moving Barrier
• The Integrated Sachs-Wolfe effect in $f(R)$ gravity
• A hierarchy of voids: More ado about nothing
• Structure Formation by the Fifth Force III: Segregation of Baryons and Dark Matter
• Halo abundances and counts-in-cells: The excursion set approach with correlated steps
• Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse
• Perturbation theory and excursion set estimates of the probability distribution function of dark matter, and a method for reconstructing the initial distribution function
• Halo abundances in the f_{nl} model
• Excursion set theory for modified gravity: correlated steps, mass functions and halo bias
• The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances
• Excursion set theory for modified gravity: Eulerian versus Lagrangian environments

Cited by in corpus (39)

• Probing cosmology and gravity with redshift-space distortions around voids
• The Santiago-Harvard-Edinburgh-Durham void comparison I: SHEDding light on chameleon gravity tests
• Cosmic Voids and Void Lensing in the Dark Energy Survey Science Verification Data
• Weak lensing by voids in modified lensing potentials
• Redshift-space distortions around voids
• Lensing Measurements of the Mass Distribution in SDSS Voids
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• Linear redshift space distortions for cosmic voids based on galaxies in redshift space
• The Santiago-Harvard-Edinburgh-Durham void comparison II: unveiling the Vainshtein screening using weak lensing
• Using Voids to Unscreen Modified Gravity
• Signatures of the Primordial Universe from Its Emptiness: Measurement of Baryon Acoustic Oscillations from Minima of the Density Field
• The lensing and temperature imprints of voids on the Cosmic Microwave Background
• Studying galaxy troughs and ridges using Weak Gravitational Lensing with the Kilo-Degree Survey
• Modelling Void Abundance in Modified Gravity
• Cosmic voids in modified gravity scenarios
• Cluster-Void Degeneracy Breaking: Dark Energy, Planck and the Largest Cluster & Void
• Redshift-space effects in voids and their impact on cosmological tests. Part I: the void size function
• Cluster-void degeneracy breaking: Neutrino properties and dark energy
• A parametrisation of modified gravity on nonlinear cosmological scales
• Measuring Baryon Acoustic Oscillations from the clustering of voids
• A Detection of $z$~2.3 Cosmic Voids from 3D Lyman-$\alpha$ Forest Tomography in the COSMOS Field
• Cosmological exploitation of cosmic void statistics - New numerical tools in the CosmoBolognaLib to extract cosmological constraints from the void size function
• Clustering and Bias Measurements of SDSS Voids
• Testing the spherical evolution of cosmic voids
• Non-fiducial cosmological test from geometrical and dynamical distortions around voids
• Cluster-Void Degeneracy Breaking: Modified Gravity in the Balance
• Parametrizations for tests of gravity
• Metal Abundances and Star-Formation Rates of Emission-Line Galaxies in and around the Bootes Void
• Cosmological Probes of Structure Growth and Tests of Gravity
• Separate Universe Void Bias
• Cosmic Voids in Evolving Dark Sector Cosmologies: the Low Redshift Universe
• Cosmic Voids in Evolving Dark Sector Cosmologies: the High Redshift Universe
• A study on Cubic Galileon Gravity Using N-body Simulations
• N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity
• Unveiling the Universe with Emerging Cosmological Probes
• Void Formation: Does the Void-in-Cloud Process Matter?
• Cosmology with Cosmic Voids
• Dynamical Evolution of Voids with Surrounding Gravitational Tidal Field