Self-Similar Solutions of Triaxial Dark Matter Halos

Abstract

We investigate the collapse and internal structure of dark matter halos. We consider halo formation from initially scale-free perturbations, for which gravitational collapse is self-similar. Fillmore and Goldreich (1984) and Bertschinger (1985) solved the one dimensional (i.e. spherically symmetric) case. We generalize their results by formulating the three dimensional self-similar equations. We solve the equations numerically and analyze the similarity solutions in detail, focusing on the internal density profiles of the collapsed halos. By decomposing the total density into subprofiles of particles that collapse coevally, we identify two effects as the main determinants of the internal density structure of halos: adiabatic contraction and the shape of a subprofile shortly after collapse; the latter largely reflects the triaxiality of the subprofile. We develop a simple model that describes the results of our 3D simulations. In a companion paper, we apply this model to more realistic cosmological fluctuations, and thereby explain the origin of the nearly universal (NFW-like) density profiles found in N-body simulations.

arXiv commentcorresponds to version published in ApJ

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Cited by in corpus (45)

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• Rotation-Dependent Catastrophic Disruption of Gravitational Aggregates
• Dependence of the outer density profiles of halos on their mass accretion rate
• The splashback radius as a physical halo boundary and the growth of halo mass
• Galactic Searches for Dark Matter
• Splashback in accreting dark matter halos
• The Shapes and Alignments of Dark Matter Halos
• Cluster-galaxy weak lensing
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• Assembly Bias and Splashback in Galaxy Clusters
• The outer profile of dark matter halos: an analytical approach
• Conserved actions, maximum entropy and dark matter halos
• The Three Hundred Project: The evolution of galaxy cluster density profiles
• 3D simulations with boosted primordial power spectra and ultracompact minihalos
• The Splashback Radius of Planck-SZ clusters
• Self-Similar Dynamical Relaxation of Dark Matter Halos in an Expanding Universe
• Predicting the density profiles of the first halos
• The effect of baryons in the cosmological lensing PDFs
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• Post-collapse perturbation theory in 1D cosmology -- beyond shell-crossing
• Phase-space structure of protohalos: Vlasov versus Particle-Mesh
• The splashback radius in symmetron gravity
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• Anisotropic halo assembly bias and redshift-space distortions
• On the evolution of cluster scaling relations
• The Origin of Dark Matter Halo Profiles
• Phase-space structure of cold dark matter halos inside splashback: multi-stream flows and self-similar solution
• The Supersonic Project: rotational effects of supersonic motions on the first structures in the Universe
• Insights into the origin of halo mass profiles from machine learning
• Dark matter halo's and self similarity
• Evolution of subhalo orbits in a smoothly-growing host halo potential
• The Supersonic Project: The Early Evolutionary Path of SIGOs
• On the Apparent Power Law in CDM Halo Pseudo Phase Space Density Profiles
• Universal multi-stream radial structures of cold dark matter halos
• Dynamics of One-dimensional Self-gravitating Systems Using Hermite-Legendre Polynomials
• Semi analytical description of formation of galaxies and clusters of galaxies
• The Supersonic Project: SIGOs, a Proposed Progenitor to Globular Clusters, and their Connections to Gravitational Wave Anisotropies
• Dark matter halo dynamics in 2D Vlasov Simulations: a self-similar approach
• Iterative mean-field approach to the spherical collapse of dark matter halos
• Evolution of axis ratios from phase space dynamics of triaxial collapse
• Self-similarity of the mass distribution in rich galaxy clusters up z~1 tracked with weak lensing
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