A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos

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Hauptverfasser: Hou, Siyuan, Yang, Daneng, Li, Nan, Li, Guoliang
Format: Preprint
Veröffentlicht: 2025
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author Hou, Siyuan
Yang, Daneng
Li, Nan
Li, Guoliang
author_facet Hou, Siyuan
Yang, Daneng
Li, Nan
Li, Guoliang
contents We present a model for analytically calculating gravitational lensing by self-interacting dark matter (SIDM) halos. Leveraging the universal behavior of SIDM halos during gravothermal evolution, we calibrate the lensing potential using a fluid simulation, normalizing the evolution time to align with established scenarios. From this potential, we derive explicit equations for the deflection angle and surface density profile, quantifying their deviations from numerical results. Our model builds on the parametric approach of arXiv:2305.16176, providing refinements in the deep core-collapse regime and enabling more comprehensive lensing studies. We explore characteristic lensing features, including critical curves and caustics, for SIDM halos in isolation and within a main halo, tracking their evolution through the gravothermal phase. We also examine signatures in the self-similar regime of core collapsed halos and highlight the role of baryonic effects in realistic halos. The application of our model extends to generic halos, whose profiles fit one or a superposition of our parametric forms. We make our implementation publicly available on https://github.com/HouSiyuan2001/SIDM_Lensing_Model to support further research.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14964
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos
Hou, Siyuan
Yang, Daneng
Li, Nan
Li, Guoliang
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
We present a model for analytically calculating gravitational lensing by self-interacting dark matter (SIDM) halos. Leveraging the universal behavior of SIDM halos during gravothermal evolution, we calibrate the lensing potential using a fluid simulation, normalizing the evolution time to align with established scenarios. From this potential, we derive explicit equations for the deflection angle and surface density profile, quantifying their deviations from numerical results. Our model builds on the parametric approach of arXiv:2305.16176, providing refinements in the deep core-collapse regime and enabling more comprehensive lensing studies. We explore characteristic lensing features, including critical curves and caustics, for SIDM halos in isolation and within a main halo, tracking their evolution through the gravothermal phase. We also examine signatures in the self-similar regime of core collapsed halos and highlight the role of baryonic effects in realistic halos. The application of our model extends to generic halos, whose profiles fit one or a superposition of our parametric forms. We make our implementation publicly available on https://github.com/HouSiyuan2001/SIDM_Lensing_Model to support further research.
title A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2502.14964