Modeling the Phase-Space Distribution around Massive Halos

Abstract

The comparison between dynamical mass and lensing mass provides a targeted test for a wide range of modified gravity models. In our previous paper we showed, through numerical simulations, that the measurement of the line-of-sight velocity dispersion around stacked massive clusters whose lensing masses are known allows for stringent constraints on modified gravity on scales of 2 - 15 Mpc/h. In this work we develop a semi-analytical approach based on the halo model to describe the phase-space distribution and the line-of-sight velocity dispersion for different tracers. The model distinguishes contributions from the halo pairwise velocity and the virial velocity within halos. We also discuss observational complications, in particular the contribution from Hubble flow, and show how our model can incorporate these complications. We then incorporate the effects of modified gravity (specifically, f(R) and braneworld models), and show that the model predictions are in excellent agreement with modified gravity simulations. More broadly, the phase-space distribution provides a sensitive test of our understanding of hierarchical structure formation when confronted with observations via this model.

27 pages, 18 figures. To be submitted

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• Towards a self-consistent halo model for the nonlinear large-scale structure
• Nonlinear structure formation in Nonlocal Gravity
• Cosmic Web and Environmental Dependence of Screening: Vainshtein vs. Chameleon
• Galaxy Infall Kinematics as a Test of Modified Gravity
• Halo modelling in chameleon theories
• The Vainshtein Mechanism in the Cosmic Web
• Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory
• Beyond consistency test of gravity with redshift-space distortions at quasi-linear scales
• Galaxy cluster lensing masses in modified lensing potentials
• A Redshift Survey of the Strong Lensing Cluster Abell 383
• The Phase Space Structure of Dark Matter Halos
• Comparing gravitational redshifts of SDSS galaxy clusters with the magnification redshift enhancement of background BOSS galaxies
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• K-mouflage effects on clusters of galaxies
• Constraining cluster masses from the stacked phase space distribution at large radii
• Accurate Model of the Projected Velocity Distribution of Galaxies in Dark Matter Halos
• The Jiao Tong University Spectroscopic Telescope Project
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