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A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos
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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.
Forward citations
Cited by 7 Pith papers
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Probing Dark Matter Substructure with Wave-Optics Distortions of Strongly Lensed LISA Gravitational Waves
Simulated four-year-LISA lensed waveforms show fuzzy-dark-matter substructure leaves a frequency-dependent phase residual that distinguishes it from NFW or self-interacting halos with ~60–110 resolved images.
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Probing Collapsed Dark Matter Halos with Fast Radio Bursts
Core-collapsed SIDM halos produce longer FRB image time delays than CDM halos, enabling future surveys to constrain self-interaction cross sections above roughly 18-40 cm²/g depending on collapse timing.
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Strong-lensing Perturber Signatures in Self-interacting Dark Matter Simulations
Core-collapsed self-interacting dark matter halos in the Concerto simulations reach high enough central densities to match the perturbing masses inferred in J0946, B1938, SDP.81, and SPT2147-50.
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Self-Interacting Dark Matter with Mass Segregation: A Unified Explanation of Dwarf Cores and Small-Scale Lenses
Two-component SIDM with velocity-dependent inter- and intra-species interactions produces mass segregation that forms dwarf cores and boosts small-scale strong lensing efficiency by a factor of a few.
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Spherically Symmetric Fluid Simulations of Black Hole Accretion in Self-Interacting Dark Matter Halos
1D hydrodynamic simulations find that SIDM heat transport competes with gravity to regulate black hole accretion, enabling rapid growth in SIS profiles up to 10,000 solar masses from a 100 solar mass seed in 2 Myr.
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Gravothermal Collapse: Robust Against Baryonic Feedback
Baryonic feedback mildly delays but does not stall gravothermal collapse in high-concentration SIDM halos and allows resumption in median-concentration cases, yielding feedback-history-dependent central densities.
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Hermitian formulation for mass dimension one fermions: Flat and curved space-times
A Hermitian, one-loop-renormalizable derivative Higgs portal for Elko dark matter is presented, along with a path-integral route toward a curved-space completion.
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