Theoretical dark matter halo kinematics and triaxial shape

TL;DR

This paper extends a formalism to connect the typical kinematics and triaxial shapes of dark matter haloes with the initial density perturbations, providing insights consistent with numerical simulations.

Contribution

It introduces a theoretical model linking halo shape and kinematics to the initial power spectrum, enhancing understanding of halo formation.

Findings

Predicted halo shapes agree with simulations.

Explains the origin of pseudo phase-space density profiles.

Links halo properties to initial density perturbations.

Abstract

In a recent paper, Salvador-Sol\'e et al. (2012) have derived the typical inner structure of dark matter haloes from that of peaks in the initial random Gaussian density field, determined by the power-spectrum of density perturbations characterising the hierarchical cosmology under consideration. In the present paper, we extend this formalism to the typical kinematics and triaxial shape of haloes. Specifically, we establish the link between such halo properties and the power-spectrum of density perturbations through the typical shape of peaks. The trends of the predicted typical halo shape, pseudo phase-space density and anisotropy profiles are in good agreement with the results of numerical simulations. Our model sheds light on the origin of the power-law-like pseudo phase-space density profile for virialised haloes.