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arxiv: 2606.10859 · v1 · pith:XVJSA5JOnew · submitted 2026-06-09 · 🌌 astro-ph.GA

Formation of Parallel Stellar Streams through Encounters with Dark Matter Subhalos and Intermediate-Mass Black Holes

Pith reviewed 2026-06-27 12:47 UTC · model grok-4.3

classification 🌌 astro-ph.GA
keywords stellar streamsdark matter subhalosintermediate-mass black holesgalactic dynamicsN-body simulationsdensity depletionsparallel streams
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The pith

A single encounter with a dark perturber can split one stellar stream into two parallel structures.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper demonstrates through analytical models and N-body simulations that encounters with dark matter subhalos or intermediate-mass black holes produce density depletions perpendicular to a stellar stream's length. These depletions create parallel stream morphologies that go beyond the usual gap signatures. The work extends the picture of stream-subhalo interactions and discusses how observables can separate this channel from other formation processes. This signature could reveal the presence and abundance of otherwise invisible dark components in the Milky Way and Andromeda. The modeling focuses on a single encounter as the origin of the split.

Core claim

Encounters with dark perturbers generate density depletions perpendicular to the stream elongation, leading to parallel stellar stream morphologies beyond conventional gap-like signatures.

What carries the argument

Perpendicular density depletions created by a single encounter with a dark matter subhalo or intermediate-mass black hole.

If this is right

  • Parallel streams act as dynamical imprints of dark perturbers in galaxies.
  • These structures can be distinguished from other formation processes using specific observables.
  • The mechanism applies to stellar streams in both the Milky Way and Andromeda.
  • Analytical modeling combined with simulations supports the splitting scenario.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Surveys targeting parallel features in streams could place limits on the number of wandering intermediate-mass black holes.
  • The perpendicular depletion effect may combine with other stream evolution processes to produce more complex morphologies in real galaxies.
  • Detection of such pairs would provide an independent probe of subhalo abundance at small scales.

Load-bearing premise

The perpendicular density depletions from one encounter dominate over other dynamical effects and remain observable and distinguishable from alternative channels without later evolution erasing them.

What would settle it

High-resolution maps of known stellar streams that show no parallel pairs, or N-body runs where all parallel features arise only when multiple encounters or other processes are included.

Figures

Figures reproduced from arXiv: 2606.10859 by Andreas Burkert, Masao Mori, Takanobu Kirihara, Yohei Miki, Yuka Kaneda.

Figure 2
Figure 2. Figure 2: Classification of stream–perturber interactions. Stream–perturber interactions can be classified into four distinct cases: Stable, Oscillatory, Split, and Escape. In the Stable case, the stream remains largely un￾affected by the perturber, and no splitting occurs. In the Oscillatory case, the perturber causes the stream to broaden; however, the self-gravitational binding of the stream prevents significant … view at source ↗
Figure 1
Figure 1. Figure 1: Comparison of the star count map in the Andromeda halo (A) and our simulation (B). Panel (A) displays red giant branch star counts in the metallicity range −1.7 < [Fe/H] ≤ −1.1 (McConnachie et al. 2018). Stream C and Stream D are marked with white arrows and are observed to be nearly parallel and of similar width (Preston et al. 2021). The M31 disk lies in the upper-right. Panel (B) shows the projected den… view at source ↗
Figure 3
Figure 3. Figure 3: Setup of our analytic model. The host halo center lies to the left in the figure. The stream has a circular orbit at radius R0 from the host cen￾ter. The axes are stream oriented along the y-direction, with x in the radial direction in the host potential. We follow the track of a stream particle at (b, 0), which corresponds to the distance r0 = R0 + b from the host center, moving in the positive y-directio… view at source ↗
Figure 4
Figure 4. Figure 4: The track and density distribution of stream particles calculated by the analytical model for the Plummer sphere perturber of 5 × 108 M⊙, the core radius 0.32 kpc, and relative velocity 190 km s−1 . Interaction occurs at 60 kpc from the host halo center. The vertical axis represents ∆r/R0, the deviation from the initial stream center normalized by the orbital ra￾dius. Here, R0 represents the stream center … view at source ↗
Figure 6
Figure 6. Figure 6: The dependence of maximum stream separation on the mass ratio, size ratio of the perturber to the host, and the relative velocity normalized by the circular velocity of the host halo is shown. The dependence of the maximum separation distance of the parallel streams on the mass ratio and the radius ratio of the perturber and the host halo, and the dependence of the separation distance on the mass ratio and… view at source ↗
Figure 8
Figure 8. Figure 8: Comparison between the analytic model and the simulation. Left two panels show the time evolution of the tracks and density distribution of stream particles calculated by the analytic model for the Plummer sphere perturber of 5 × 108 M⊙, the core radius 0.32 kpc, and relative velocity 190 km s−1 . Interaction occurs at 60 kpc from the host center. The tracks start at t/T0 = 0 with θ = 0 and end at t/T0 = 0… view at source ↗
Figure 9
Figure 9. Figure 9: The top row shows the time evolution of the density distribution of the stream and the bottom two rows display the time evolution of the phase￾space density distribution with perturbation. The white dot represents the mass center of the perturber. (a), (d), and (g) correspond to the snapshot at 1.6 Gyr, (b), (e), and (h), 2.1 Gyr, and (c), (f), and (i), 3.0 Gyr. The middle row presents the radial velocity … view at source ↗
Figure 10
Figure 10. Figure 10: Same as figure 9, but without perturbation. Alt text: Nine panels with three times three configuration. In the top row, from left to right, the panels are labeled a to c. In the middle row, from left to right, the panels are labeled d to f.In the bottom row, from left to right, the panels are labeled g to i. turber mass Mper, the perturber size rper, and the relative velocity vrel. Therefore, we can show … view at source ↗
Figure 11
Figure 11. Figure 11: The velocity kick at b = rper as a color map on the Mper–rper– vrel space, used as an index to choose the properties of a perturber for parameter survey. The violet surface shows the surface where the velocity kick is equal to the initial velocity dispersion of the stellar stream progen￾itor. From model a on the surface, model b and model c are taken in a perpendicular direction (black solid line) to the … view at source ↗
Figure 12
Figure 12. Figure 12: Comparison between different perturber models. Simulation snapshots at 3.0 Gyr are shown. The properties of each model are listed in [PITH_FULL_IMAGE:figures/full_fig_p009_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: The time evolution of the face-on stream density to the orbital plane. The panels labeled a to f, show the time evolution of the simulation after the collision between a starless dark matter subhalo and a stellar stream. The surface mass density of the stream is shown in the color map, with the mass center of the starless dark matter subhalo indicated by a yellow dot. In this model, the host dark matter h… view at source ↗
Figure 14
Figure 14. Figure 14: The lower row panels display the density distribution of the stream on the E − Lz plane, based on the simulation results. The top row panels show the corresponding spatial density distribution of the stream of the face on view to the orbital plane. The left most column displays the unperturbed case, while the second left column shows the perturbed case. The third left column shows the extended stream that… view at source ↗
read the original abstract

Dark matter subhalos and intermediate-mass black holes wandering in the Milky Way and the Andromeda galaxy are difficult to directly detect through electromagnetic observations, yet knowing their abundance is essential for understanding galaxy formation and evolution. We propose parallel stellar streams as dynamical imprints left on stellar streams by dark perturbers, including starless dark matter subhalos and wandering intermediate-mass black holes. We report that a single stream can split into two parallel structures after an encounter with a dark perturber. This scenario is supported by analytical modelling and N-body simulations. We also discuss how we can distinguish parallel stellar streams from other formation processes based on observables. We extend the theoretical picture of stream-subhalo interactions by showing that encounters with dark perturbers can generate density depletions perpendicular to the stream elongation, leading to parallel stellar stream morphologies beyond conventional gap-like signatures.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript claims that encounters with dark matter subhalos or intermediate-mass black holes can split a single stellar stream into two parallel structures via perpendicular density depletions. This mechanism is demonstrated through analytical modeling and N-body simulations and is positioned as an extension of conventional gap-like signatures in stream-subhalo interactions. The authors also address observational distinguishability from alternative formation channels.

Significance. If the central result holds, the work identifies a new dynamical imprint that could constrain the abundance and properties of otherwise invisible dark perturbers in the Milky Way and Andromeda. The dual use of analytical modeling and N-body simulations provides independent support for the proposed morphology and broadens the set of observable signatures beyond density gaps.

minor comments (2)
  1. The abstract states that the scenario is 'supported by analytical modelling and N-body simulations,' but the provided text does not include the specific equations, initial conditions, or parameter ranges used in either component; adding these details (e.g., in a dedicated methods section) would strengthen verifiability.
  2. The discussion of distinguishability from other formation processes is mentioned but not quantified; including concrete observables (e.g., velocity dispersion differences or surface-brightness profiles) with example values would improve clarity.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their supportive summary of the manuscript and for recommending minor revision. The referee's description accurately reflects the scope and claims of our work on parallel stellar streams as a new signature of dark perturbers.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper's derivation chain relies on analytical modeling of stream-perturber encounters followed by N-body simulations to demonstrate perpendicular density depletions and parallel stream morphologies. No equations, fitted parameters, or self-citations are presented that reduce the central prediction to a definition, input fit, or prior author result by construction. The simulations serve as independent numerical verification of the dynamical mechanism, and the abstract explicitly frames distinguishability from other channels as an observational question rather than an internal tautology. The result is therefore self-contained against external benchmarks with no load-bearing circular steps.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review provides no explicit free parameters, axioms, or invented entities; ledger left empty pending full text.

pith-pipeline@v0.9.1-grok · 5690 in / 1107 out tokens · 17244 ms · 2026-06-27T12:47:28.350356+00:00 · methodology

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Works this paper leans on

82 extracted references · 1 linked inside Pith

  1. [1]

    G., et al

    Abac, A. G., et al. 2025, ApJL, 993, L25

  2. [2]

    2020, Phys

    Abbott, R., et al. 2020, Phys. Rev. Lett., 125, 101102

  3. [3]

    C., Gómez, F

    Amorisco, N. C., Gómez, F. A., Vegetti, S., & White, S. D. M. 2016, MNRAS, 463, L17

  4. [4]

    2021, ApJ, 906, 96

    Shen, S., & Tremmel, M. 2021, ApJ, 906, 96

  5. [5]

    Banik, N., Bovy, J., Bertone, G., Erkal, D., & de Boer, T. J. L. 2021a, Journal of Cosmology and Astroparticle Physics, 2021, 043

  6. [6]

    Barmby, P., & Huchra, J. P. 2001, AJ, 122, 2458

  7. [7]

    2022, MNRAS, 510, 3531

    Baumgardt, H., Faller, J., Meinhold, N., McGovern-Greco, C., & Hilker, M. 2022, MNRAS, 510, 3531

  8. [8]

    2019, MNRAS, 482, 5138

    Baumgardt, H., Hilker, M., Sollima, A., & Bellini, A. 2019, MNRAS, 482, 5138

  9. [9]

    2020, MNRAS, 498, 4887

    Benitez-Llambay, A., & Frenk, C. 2020, MNRAS, 498, 4887

  10. [10]

    K., & Kallivayalil, N

    Bovy, J., Bahmanyar, A., Fritz, T. K., & Kallivayalil, N. 2016, ApJ, 833, 31

  11. [11]

    Bowden, A., Belokurov, V ., & Evans, N. W. 2015, MNRAS, 449, 1391

  12. [12]

    M., Kuhlen, M., Zolotov, A., & Hooper, D

    Brooks, A. M., Kuhlen, M., Zolotov, A., & Hooper, D. 2013, ApJ, 765, 22

  13. [13]

    M., & Zolotov, A

    Brooks, A. M., & Zolotov, A. 2014, ApJ, 786, 87

  14. [14]

    R., & Hooper, D

    Buckley, M. R., & Hooper, D. 2010, Phys. Rev. D, 82, 063501

  15. [15]

    Caldwell, N., & Romanowsky, A. J. 2016, ApJ, 824, 42

  16. [16]

    Carlberg, R. G. 2012, ApJ, 748, 20

  17. [17]

    Carlberg, R. G. 2016, ApJ, 820, 45

  18. [18]

    Carlberg, R. G. 2018, ApJ, 861, 69

  19. [19]

    G., & Grillmair, C

    Carlberg, R. G., & Grillmair, C. J. 2013, ApJ, 768, 171

  20. [20]

    G., Grillmair, C

    Carlberg, R. G., Grillmair, C. J., & Hetherington, N. 2012, ApJ, 760, 75

  21. [21]

    G., et al

    Carlberg, R. G., et al. 2011, ApJ, 731, 124

  22. [22]

    C., et al

    Chapman, S. C., et al. 2008, MNRAS, 390, 1437

  23. [23]

    2024, MNRAS, 532, 4340

    Chen, Y ., Mo, H., & Wang, H. 2024, MNRAS, 532, 4340

  24. [24]

    N., & Quillen, A

    Comparetta, J. N., & Quillen, A. C. 2010, 41, 5.04

  25. [25]

    R., et al

    Conn, A. R., et al. 2016, MNRAS, 458, 3282 D’Onghia, E., Springel, V ., Hernquist, L., & Keres, D. 2010, ApJ, 709, 1138

  26. [26]

    E., & Belokurov, V

    Erkal, D., Koposov, S. E., & Belokurov, V . 2017, MNRAS, 470, 60

  27. [27]

    L., & Belokurov, V

    Erkal, D., Sanders, J. L., & Belokurov, V . 2016, MNRAS, 461, 1590

  28. [28]

    A., Babul, A., Guhathakurta, P., Gilbert, K

    Fardal, M. A., Babul, A., Guhathakurta, P., Gilbert, K. M., & Dodge, C. 2008, ApJL, 682, L33

  29. [29]

    2009, A&A, 508, 1285

    Galleti, S., Bellazzini, M., Buzzoni, A., Federici, L., & Fusi Pecci, F. 2009, A&A, 508, 1285

  30. [30]

    E., Strader, J., & Ho, L

    Greene, J. E., Strader, J., & Ho, L. C. 2020, ARA&A, 58, 257

  31. [31]

    J., & Johnson, R

    Grillmair, C. J., & Johnson, R. 2006, ApJL, 639, L17 Grudi´c, M. Y ., Guszejnov, D., Offner, S. S. R., Rosen, A. L., Raju, A. N., Faucher-Giguère, C.-A., & Hopkins, P. F. 2022, MNRAS, 512, 216

  32. [32]

    Harris, W. E. 2010, arXiv e-prints, arXiv:1012.3224

  33. [33]

    2008, ApJ, 686, 829

    Holley-Bockelmann, K., Gültekin, K., Shoemaker, D., & Yunes, N. 2008, ApJ, 686, 829

  34. [34]

    2021, ApJ, 914, 123 14Publications of the Astronomical Society of Japan(0000), Vol

    Ibata, R., et al. 2021, ApJ, 914, 123 14Publications of the Astronomical Society of Japan(0000), Vol. 00, No. 0

  35. [35]

    A., Lewis, G

    Ibata, R. A., Lewis, G. F., Irwin, M. J., & Quinn, T. 2002, MNRAS, 332, 915

  36. [36]

    2009, ApJ, 696, 2115

    Ishiyama, T., Fukushige, T., & Makino, J. 2009, ApJ, 696, 2115

  37. [37]

    V ., Spergel, D

    Johnston, K. V ., Spergel, D. N., & Haydn, C. 2002, ApJ, 570, 656

  38. [38]

    2024, ApJ, 964, 123

    Jung, M., et al. 2024, ApJ, 964, 123

  39. [39]

    2024, PASJ, 76, 1026

    Kaneda, Y ., Mori, M., & Otaki, K. 2024, PASJ, 76, 1026

  40. [40]

    2014, ApJL, 789, L13

    Kawaguchi, T., Saito, Y ., Miki, Y ., & Mori, M. 2014, ApJL, 789, L13

  41. [41]

    2017, MNRAS, 469, 3390

    Kirihara, T., Miki, Y ., & Mori, M. 2017, MNRAS, 469, 3390

  42. [42]

    2018, ApJ, 853, 29

    Komiyama, Y ., et al. 2018, ApJ, 853, 29

  43. [43]

    E., Rix, H.-W., & Hogg, D

    Koposov, S. E., Rix, H.-W., & Hogg, D. W. 2010, ApJ, 712, 260

  44. [44]

    B., Ishigaki, M

    Kuzma, P. B., Ishigaki, M. N., Kirihara, T., & Ogami, I. 2025, AJ, 170, 157

  45. [45]

    S., et al

    Li, T. S., et al. 2021, ApJ, 911, 149

  46. [46]

    R., Frenk, C

    Lovell, M. R., Frenk, C. S., Eke, V . R., Jenkins, A., Gao, L., & Theuns, T. 2014, MNRAS, 439, 300

  47. [47]

    2019, Nature, 574, 69

    Mackey, D., et al. 2019, Nature, 574, 69

  48. [48]

    Malhan, K., & Ibata, R. A. 2019, MNRAS, 486, 2995

  49. [49]

    Martin, N. F. 2019, ApJL, 886, L7

  50. [50]

    2018, MNRAS, 478, 3862

    Chambers, K. 2018, MNRAS, 478, 3862

  51. [51]

    2022, ApJ, 926, 107

    Malhan, K., et al. 2022, ApJ, 926, 107

  52. [52]

    W., et al

    McConnachie, A. W., et al. 2018, ApJ, 868, 55

  53. [53]

    2024, MNRAS, 528, 5252

    Mezcua, M., & Domínguez Sánchez, H. 2024, MNRAS, 528, 5252

  54. [54]

    2014, ApJ, 783, 87

    Miki, Y ., Mori, M., Kawaguchi, T., & Saito, Y . 2014, ApJ, 783, 87

  55. [55]

    1999, ApJL, 524, L19

    Moore, B., Ghigna, S., Governato, F., Lake, G., Quinn, T., Stadel, J., & Tozzi, P. 1999, ApJL, 524, L19

  56. [56]

    F., Frenk, C

    Navarro, J. F., Frenk, C. S., & White, S. D. M. 1996, ApJ, 462, 563

  57. [57]

    2025, MNRAS, 536, 530 O’Leary, R

    Ogami, I., et al. 2025, MNRAS, 536, 530 O’Leary, R. M., & Loeb, A. 2009, MNRAS, 395, 781 O’Leary, R. M., & Loeb, A. 2012, MNRAS, 421, 2737

  58. [58]

    2025, submitted to New Astronomy

    Otaki, K., Kazuno, Y ., & Mori, M. 2025, submitted to New Astronomy

  59. [59]

    Pearson, S., Bonaca, A., Chen, Y ., & Gnedin, O. Y . 2024, ApJ, 976, 54

  60. [60]

    M., & Johnston, K

    Pearson, S., Price-Whelan, A. M., & Johnston, K. V . 2017, Nature Astronomy, 1, 633

  61. [61]

    M., Bridges, T

    Perrett, K. M., Bridges, T. J., Hanes, D. A., Irwin, M. J., Brodie, J. P., Carter, D., Huchra, J. P., & Watson, F. G. 2002, AJ, 123, 2490

  62. [62]

    E., & Carballo-Bello, J

    Piatti, A. E., & Carballo-Bello, J. A. 2020, A&A, 637, L2

  63. [63]

    M., Ibata, R., Martin, N

    Preston, J., Collins, M., Rich, R. M., Ibata, R., Martin, N. F., & Fardal, M. 2021, MNRAS, 504, 3098

  64. [64]

    C., & Comparetta, J

    Quillen, A. C., & Comparetta, J. 2010, Jeans Instability of Palomar 5’s Tidal Tail, arXiv,

  65. [65]

    2014, ApJ, 780, 187

    Rashkov, V ., & Madau, P. 2014, ApJ, 780, 187

  66. [66]

    E., & V olonteri, M

    Reines, A. E., & V olonteri, M. 2015, ApJ, 813, 82

  67. [67]

    2021, MNRAS, 503, 6098

    Ricarte, A., Tremmel, M., Natarajan, P., Zimmer, C., & Quinn, T. 2021, MNRAS, 503, 6098

  68. [68]

    L., Hafen, Z., Grudi ´c, M

    Rodriguez, C. L., Hafen, Z., Grudi ´c, M. Y ., Lamberts, A., Sharma, K., Faucher-Giguère, C.-A., & Wetzel, A. 2023, MNRAS, 521, 124

  69. [69]

    2015, MNRAS, 448, 2941

    Sawala, T., et al. 2015, MNRAS, 448, 2941

  70. [70]

    2011, MNRAS, 415, 1569

    Schneider, A., & Moore, B. 2011, MNRAS, 415, 1569

  71. [71]

    2018, ApJ, 862, 114

    Shipp, N., et al. 2018, ApJ, 862, 114

  72. [72]

    Tremmel, M., Governato, F., V olonteri, M., Pontzen, A., & Quinn, T. R. 2018, ApJL, 857, L22

  73. [73]

    2024, MNRAS van Donkelaar, F., Mayer, L., Capelo, P

    Untzaga, J., Bonoli, S., Izquierdo-Villalba, D., Mezcua, M., & Spinoso, D. 2024, MNRAS van Donkelaar, F., Mayer, L., Capelo, P. R., & Tamfal, T. 2025, MNRAS, 538, 2255

  74. [74]

    2019, MNRAS, 484, 2832

    Vasiliev, E. 2019, MNRAS, 484, 2832

  75. [75]

    Vegetti, S., & Koopmans, L. V . E. 2009, MNRAS, 392, 945

  76. [76]

    2014, MNRAS, 442, 2929

    Veljanoski, J., et al. 2014, MNRAS, 442, 2929

  77. [77]

    2015, MNRAS, 452, 320

    Veljanoski, J., et al. 2015, MNRAS, 452, 320

  78. [78]

    2011, VERITAS observations of the Segue 1 dwarf spheroidal galaxy,

    Vivier, M. 2011, VERITAS observations of the Segue 1 dwarf spheroidal galaxy,

  79. [79]

    J., Pacucci, F., Hernquist, L., & Bose, S

    Weller, E. J., Pacucci, F., Hernquist, L., & Bose, S. 2022, MNRAS, 511, 2229

  80. [80]

    R., Hopkins, P

    Wetzel, A. R., Hopkins, P. F., Kim, J.-h., Faucher-Giguère, C.-A., Kereš, D., & Quataert, E. 2016, ApJL, 827, L23

Showing first 80 references.