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Large-scale structure of the Universe. Analytic theory.

,
Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

An analytical theory is developed of the nonlinear stage of the Jeans instability in a cold nondissipative gas in an expanding Universe. It is shown that the growth of this instability creates a giant dark-matter halo, of 200 kpc size, around galaxies. This halo has a density singularity described by ρ propto r -α, where α approx 1.7-1.9. A comparison is made of this analytic theory with the results of numerical simulations and a good agreement between them is demonstrated. Analytic dynamic solutions are used to develop a statistical method for calculation of the correlation functions of galaxies and galaxy clusters. The theory is compared with the available observational data. The physical consequences of the proposed theory are considered.

Fulltext pdf (960 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n07ABEH000094
PACS: 98.80.Cq, 95.35.+d, 98.62.Ai (all)
DOI: 10.1070/PU1995v038n07ABEH000094
URL: https://ufn.ru/en/articles/1995/7/b/
A1995RU84500001
Citation: Gurevich A V, Zybin K P "Large-scale structure of the Universe. Analytic theory." Phys. Usp. 38 687–722 (1995)
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Оригинал: Гуревич А В, Зыбин К П «Крупномасштабная структура Вселенной. Аналитическая теория» УФН 165 723–758 (1995); DOI: 10.3367/UFNr.0165.199507b.0723

References (58) Cited by (85) ↓ Similar articles (19)

  1. Ferapontov E V, Vermeeren M Lett Math Phys 115 (6) (2025)
  2. Domrin A V, Suleimanov B I Sb. Math. 216 (8) 1138 (2025)
  3. Domrin A V, Suleimanov B I Mat. Sbornik 216 (8) 129 (2025)
  4. Metelskii I I, Kovalev V F, Bychenkov V Yu ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 194 (05) 457 (2024) [Metelskii I I, Kovalev V F, Bychenkov V Yu Phys. Usp. 67 (05) 429 (2024)]
  5. Saga Sh, Colombi Stéphane, Taruya A A&A 678 A168 (2023)
  6. Demiański M, Doroshkevich A et al Astron. Rep. 67 (12) 1265 (2023) [Demyanskii M, Doroshkevich A et al Astronomičeskij žurnal 100 (12) 1121 (2023)]
  7. Demiański M, Doroshkevich A, Larchenkova T Astronomičeskij žurnal 100 (5) 395 (2023) [Demiański M, Doroshkevich A, Larchenkova T Astron. Rep. 67 (5) 439 (2023)]
  8. Rampf C, Hahn O Phys. Rev. D 107 (2) (2023)
  9. Demiański M, Doroshkevich A et al Monthly Notices of the Royal Astronomical Society 525 (2) 1922 (2023)
  10. Xia Sh Applicable Analysis 102 (18) 4997 (2023)
  11. White S D M Monthly Notices of the Royal Astronomical Society: Letters 517 (1) L46 (2022)
  12. Holmes J, Thompson R C, Ti?zlay F Journal of Mathematical Physics 63 (4) (2022)
  13. Demyansky M, Doroshkevich A et al Astron. Rep. 66 (9) 766 (2022)
  14. Sarrico C O R Journal of Mathematical Physics 62 (5) (2021)
  15. Wei L, Wang Ya Journal of Mathematical Physics 62 (4) (2021)
  16. Gao B, Tian K et al JNMP 25 (1) 122 (2021)
  17. Kovalev V F, Bychenkov V Yu Quantum Electron. 51 (11) 1009 (2021)
  18. Kak S Sci Rep 10 (1) (2020)
  19. Demianski M, Doroshkevich A et al Astron. Rep. 64 (11) 883 (2020)
  20. Gaite J Symmetry 12 (4) 597 (2020)
  21. Wei L J. Math. Fluid Mech. 22 (4) (2020)
  22. Thompson R C Journal of Mathematical Physics 60 (5) (2019)
  23. Gaite J Advances In Astronomy 2019 1 (2019)
  24. Ando Sh, Ishiyama T, Hiroshima N Galaxies 7 (3) 68 (2019)
  25. Ogiya G, Hahn O Monthly Notices of the Royal Astronomical Society 473 (4) 4339 (2018)
  26. Zhuravlev V M J. Exp. Theor. Phys. 125 (3) 420 (2017)
  27. Kovalev V F, Bychenkov V Yu J. Exp. Theor. Phys. 121 (1) 1 (2015)
  28. Kovalev V F, Bychenkov V Yu Plasma Phys. Rep. 41 (4) 343 (2015)
  29. Berezinsky V, Dokuchaev V, Eroshenko Yu J. Phys.: Conf. Ser. 607 012015 (2015)
  30. Colombi Stéphane Monthly Notices of the Royal Astronomical Society 446 (3) 2902 (2015)
  31. Belotsky K, Khlopov M, Kirillov A Advances In High Energy Physics 2014 1 (2014)
  32. Demiański M, Doroshkevich A G Monthly Notices of the Royal Astronomical Society 439 (1) 179 (2014)
  33. Belotsky K, Kirillov A, Khlopov M Gravit. Cosmol. 20 (1) 47 (2014)
  34. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (1) 3 (2014) [Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Phys.-Usp. 57 (1) 1 (2014)]
  35. Blinnikov S I ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (2) 194 (2014) [Blinnikov S I Phys.-Usp. 57 (2) 183 (2014)]
  36. Prykarpatsky Ya A, Artemovych O D et al Reports On Mathematical Physics 71 (3) 305 (2013)
  37. Gaite José Galaxies 1 (1) 31 (2013)
  38. Cherepashchuk A M ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 183 (5) 535 (2013) [Cherepashchuk A M Phys.-Usp. 56 (5) 509 (2013)]
  39. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N J. Cosmol. Astropart. Phys. 2013 (11) 059 (2013)
  40. Chesnokov A A, Pavlov M V Acta Appl Math (2012)
  41. Gurbatov S N, Saichev A I, Shandarin S F ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 182 (3) 233 (2012)
  42. Pavlov V I, Tito E P Phys. Rev. D 85 (10) (2012)
  43. Doroshkevich A G, Lukash V N, Mikheeva E V Uspekhi Fizicheskikh Nauk 182 (1) 3 (2012)
  44. Demiański M, Doroshkevich A et al Monthly Notices of the Royal Astronomical Society 414 (3) 1813 (2011)
  45. Popowicz Z Physics Letters A 375 (37) 3268 (2011)
  46. Zhuravlev V M, Zinov’ev D A Phys. Wave Phen. 19 (4) 313 (2011)
  47. Popowicz Z, Prykarpatsky A K Nonlinearity 23 (10) 2517 (2010)
  48. Zakharov A Gen Relativ Gravit 42 (9) 2301 (2010)
  49. Berezinsky V, Dokuchaev V et al Phys. Rev. D 81 (10) (2010)
  50. Berezinsky V, Dokuchaev V et al Phys. Rev. D 81 (10) (2010)
  51. Blinnikov S I Phys. Atom. Nuclei 73 (4) 593 (2010)
  52. Baushev A N Monthly Notices of the Royal Astronomical Society 398 (2) 783 (2009)
  53. Lasukov V V Russ Phys J 52 (1) 1 (2009)
  54. Constantin A, Ivanov R I Physics Letters A 372 (48) 7129 (2008)
  55. Vasiliev E, Zelnikov M Phys. Rev. D 78 (8) (2008)
  56. Berezinsky V, Dokuchaev V, Eroshenko Yu Phys. Rev. D 77 (8) (2008)
  57. Andriyash I A, Bychenkov V Yu, Kovalev V F Jetp Lett. 87 (11) 623 (2008)
  58. Kingsep A S, Fridman Yu A J. Exp. Theor. Phys. 107 (2) 228 (2008)
  59. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N J. Cosmol. Astropart. Phys. 2007 (07) 011 (2007)
  60. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Phys. Atom. Nuclei 69 (12) 2068 (2006)
  61. Berezinsky V, Dokuchaev V, Eroshenko Yu Phys. Rev. D 73 (6) (2006)
  62. Hall Je, Gondolo P Phys. Rev. D 74 (6) (2006)
  63. Vasil’ev E A Jetp Lett. 84 (2) 45 (2006)
  64. Buchert T, Dom?enguez A A&A 438 (2) 443 (2005)
  65. Pavlov M V J. Phys. A: Math. Gen. 38 (17) 3823 (2005)
  66. Berezinsky V, Dokuchaev V, Eroshenko Yu Nuclear Physics B - Proceedings Supplements 138 25 (2005)
  67. Glushkov A V Phys. Atom. Nuclei 68 (2) 237 (2005)
  68. Zelnikov M I, Vasiliev E A Jetp Lett. 81 (3) 85 (2005)
  69. Sirota V A, Il’in A S et al J. Exp. Theor. Phys. 100 (2) 294 (2005)
  70. Kovalev V F, Bychenkov V Yu J. Exp. Theor. Phys. 101 (2) 212 (2005)
  71. Yano T, Koyama H et al ASTROPHYS J SUPPL S 151 (2) 185 (2004)
  72. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Phys. Atom. Nuclei 67 (6) 1195 (2004)
  73. Ilyin A S, Zybin K P, Gurevich A V J. Exp. Theor. Phys. 98 (1) 1 (2004)
  74. Glushkov A V Phys. Atom. Nuclei 67 (5) 961 (2004)
  75. Berezinsky V, Dokuchaev V, Eroshenko Yu Phys. Rev. D 68 (10) (2003)
  76. Glushkov A V Phys. Atom. Nuclei 66 (7) 1252 (2003)
  77. Koutvitsky V A, Maslov E M Astronomical & Astrophysical Transactions 21 (4-6) 197 (2002)
  78. Aurell E, Fanelli D, Muratore-Ginanneschi P Physica D: Nonlinear Phenomena 148 (3-4) 272 (2001)
  79. ’z’?’?’?’?’? ’a ’E, Pavlov M V Teor. Mat. Fiz. 128 (1) 109 (2001)
  80. Sirota V A J. Exp. Theor. Phys. 90 (2) 227 (2000)
  81. Bashkirov A G, Vityazev A V ApJ 497 (1) 10 (1998)
  82. Ehlers Jürgen, Buchert T General Relativity And Gravitation 29 (6) 733 (1997)
  83. Gurevich A V, Zybin K P Physics Letters A 225 (4-6) 217 (1997)
  84. Eroshenko Yu N, Zel’nikov M I Jetp Lett. 65 (8) 593 (1997)
  85. Gurevich A V, Zybin K P, Sirota V A Physics Letters A 214 (5-6) 232 (1996)
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