Self-Similar Spherical Collapse with Tidal Torque

Abstract

N-body simulations have revealed a wealth of information about dark matter halos however their results are largely empirical. Using analytic means, we attempt to shed light on simulation results by generalizing the self-similar secondary infall model to include tidal torque. In this first of two papers, we describe our halo formation model and compare our results to empirical mass profiles inspired by N-body simulations. Each halo is determined by four parameters. One parameter sets the mass scale and the other three define how particles within a mass shell are torqued throughout evolution. We choose torque parameters motivated by tidal torque theory and N-body simulations and analytically calculate the structure of the halo in different radial regimes. We find that angular momentum plays an important role in determining the density profile at small radii. For cosmological initial conditions, the density profile on small scales is set by the time rate of change of the angular momentum of particles as well as the halo mass. On intermediate scales, however, $\rho \propto r^{-2}$, while $\rho \propto r^{-3}$ close to the virial radius.

18 pages, 7 figures, Accepted by PRD

References in corpus (29)

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Cited by in corpus (28)

• Galactic Searches for Dark Matter
• ORIGAMI: Delineating Halos using Phase-Space Folds
• Shear and rotation in Chaplygin cosmology
• Self-Similar Solutions of Triaxial Dark Matter Halos
• Extended Spherical Collapse and the Accelerating Universe
• Self-Similar Dynamical Relaxation of Dark Matter Halos in an Expanding Universe
• What sets the central structure of dark matter haloes?
• Predicting the density profiles of the first halos
• Phase-space structure of protohalos: Vlasov versus Particle-Mesh
• Gravitational Collapse in One Dimension
• Constraints on shear and rotation with massive galaxy clusters
• Phase-space structure of cold dark matter halos inside splashback: multi-stream flows and self-similar solution
• The Astrophysics of the Intracluster Plasma
• Dark matter halo's and self similarity
• Confrontation of Top-Hat Spherical Collapse against Dark Halos from Cosmological N-Body Simulations
• Cold dark matter protohalo structure around collapse: Lagrangian cosmological perturbation theory versus Vlasov simulations
• Velocity Structure of Self-Similar Spherically Collapsed Halos
• On the Apparent Power Law in CDM Halo Pseudo Phase Space Density Profiles
• Tetrahedral collapse: a rotational toy model of simultaneous dark-matter halo, filament and wall formation
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies II: the role of dark energy
• Hollow cores in Warm Dark Matter halos from the Vlasov-Poisson equation
• Anisotropy and characteristic scales in halo density gradient profiles
• Universal multi-stream radial structures of cold dark matter halos
• Effects of Angular Momentum on Halo Profiles
• The gravitational force field of proto-pancakes
• Dark matter halo dynamics in 2D Vlasov Simulations: a self-similar approach
• Dynamical friction shear and rotation in Chaplygin cosmology
• Longitudinal crossover and the dynamics of uniform electron ellipsoids focused by linear chirp