Dynamical evolutin of quintessence dark energy in collapsing dark matter halos

Abstract

In this paper, we analyze the dynamical evolution of quintessence dark energy induced by the collapse of dark matter halos. Different from other previous studies, we develop a numerical strategy which allows us to calculate the dark energy evolution for the entire history of the spherical collapse of dark matter halos, without the need of separate treatments for linear, quasi-linear and nonlinear stages of the halo formation. It is found that the dark energy perturbations evolve with redshifts, and their specific behaviors depend on the quintessence potential as well as the collapsing process. The overall energy density perturbation is at the level of $10^{-6}$ for cluster-sized halos. The perturbation amplitude decreases with the decrease of the halo mass. At a given redshift, the dark energy perturbation changes with the radius to the halo center, and can be either positive or negative depending on the contrast of ${\partial }_t\varphi$, ${\partial }_r\varphi$ and $\varphi$ with respect to the background, where $\varphi$ is the quintessence field. For shells where the contrast of ${\partial }_r\varphi$ is dominant, the dark energy perturbation is positive and can be as high as about $10^{-5}$.

11 pages, 13 figures

References in corpus (17)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dark Energy and the Accelerating Universe
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• An Imprint of Super-Structures on the Microwave Background due to the Integrated Sachs-Wolfe Effect
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Structure formation in the presence of dark energy perturbations
• Voids of dark energy
• Probing Dynamics of Dark Energy with Supernova, Galaxy Clustering and the Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations
• Scalar Field Dark Energy Perturbations and their Scale Dependence
• Probing Dark Energy at Galactic and Cluster Scales
• An Improved Semi-Analytical Spherical Collapse Model for Non-linear Density Evolution
• The Cold Spot as a Large Void: Rees-Sciama effect on CMB Power Spectrum and Bispectrum
• Cosmic Microwave Background Anisotropy from Nonlinear Structures in Accelerating Universes
• Gravitational Lensing Constraints on Dynamical and Coupled Dark Energy
• Dark Matter & Dark Energy from a single scalar field: CMB spectrum and matter transfer function