Gravitational Lensing in More Realistic Dark Matter Halo Models

Abstract

In this study, we explore gravitational lensing using more realistic dark matter halo models, moving beyond the limitations of spherical-collapse approximations. Through analytical calculations employing various mass functions, we address critical factors often neglected in the standard Press-Schechter formalism, such as ellipsoidal collapse conditions, angular momentum dynamics, dynamical friction, and the cosmological constant. Our analysis incorporates two widely recognized halo density profiles, the Navarro-Frenk-White and Einasto profiles considering both spherical and ellipsoidal-collapse scenarios. We provide detailed calculations of key gravitational lensing observables, including Einstein radii, lensing optical depths, and time delays, across a broad range of redshifts and masses using two different lensing models: the point mass and singular isothermal sphere (SIS) models. Our results show that using more realistic dark matter halo models enhances lensing effects compared to their spherical-collapse counterparts. Additionally, our analyses of lensing optical depths and time delays reveal distinct differences between the point mass and SIS lens models. These findings underscore the importance of using realistic halo descriptions instead of simplified approximations when modeling gravitational lensing, as this approach can more accurately capture the complex structures of dark matter.

11 pages; 5 figures; Refs included

References in corpus (20)

• A Highly Magnified Star at Redshift 6.2
• The finite source size effect and the wave optics in gravitational lensing
• Gravitational wave lensing as a probe of halo properties and dark matter
• Lensing of gravitational waves: efficient wave-optics methods and validation with symmetric lenses
• Strongly Lensed Transient Sources: A Review
• A review on analytical studies in Gravitational Lensing
• A high precision semi-analytic mass function
• Microlensing of gravitational waves by dark matter structures
• On the Average Comoving Number Density of Halos
• Prompt cusp formation from the gravitational collapse of peaks in the initial cosmological density field
• Compact Binary Merger Rate in Dark-Matter Spikes
• Discriminating power of milli-lensing observations for dark matter models
• On the effect of angular momentum on the prompt cusp formation via the gravitational collapse
• The Merger Rate of Primordial Black Hole-Neutron Star Binaries in Ellipsoidal-Collapse Dark Matter Halo Models
• The Integrated Sachs-Wolfe Effect in Interacting Dark Matter-Dark Energy Models
• Primordial Black Hole Merger Rate in $f(R)$ Gravity
• On the Merger Rate of Primordial Black Holes in Cosmic Voids
• Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos
• Primordial Black Hole-Neutron Star Merger Rate in Modified Gravity
• Waveform systematics in identifying strongly gravitationally lensed gravitational waves: Posterior overlap method

Cited by in corpus (5)

• Signatures of dark and baryonic structures on weakly lensed gravitational waves
• Matching JWST UV Luminosity Functions with Refined $\Lambda$CDM Halo Models
• High-redshift Galaxies from JWST Observations in More Realistic Dark Matter Halo Models
• Toward Gravitational Lensing in Modified Theories of Gravity
• Hermitian formulation for mass dimension one fermions: Flat and curved space-times