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Dark matter, density perturbations, and structure formation

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Abstract

This paper provides a review of the types of dark matter that are thought to be fundamental components of the Universe, and their role in the origin and evolution of structures, together with some new original results concerning improvements to the spherical collapse model. In particular, we show how the spherical collapse model is modified when dynamical friction and tidal torques are taken into account.

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References

  1. D. W. Sciama, Proc. R. Soc. London, Ser. A 394, 1 (1984).

    Article  ADS  Google Scholar 

  2. S. Bowyer, E. J. Korpela, J. Edelstein, et al., Astrophys. J. 526, 10 (1999).

    Article  ADS  Google Scholar 

  3. M. S. Turner, Phys. Scripta 36, 167 (1991).

    Article  Google Scholar 

  4. J. H. Oort, Bull. Astron. Inst. Netherlands 6, 249 (1932).

    ADS  Google Scholar 

  5. F. Zwichy, Helv. Phys. Acta 6, 110 (1933).

    ADS  Google Scholar 

  6. S. Smith, Astrophys. J. 83, 23 (1936).

    Article  ADS  Google Scholar 

  7. A. Friedmann, Z. Phys. 10, 377 (1924); 21, 326 (1924).

    ADS  Google Scholar 

  8. A. Einstein, Preuss. Akad. Wiss. Berlin, Sitzber. 844 (1915).

  9. H. Weyl, Z. Phys. 24, 230 (1923).

    Google Scholar 

  10. T. S. van Albada and R. Sancisi, Philos. Trans. R. Soc. London, Ser. A 320, 447 (1986).

    ADS  Google Scholar 

  11. P. J. E. Peebles, Physical Cosmology (Princeton Univ. Press, Princeton, 1971; Mir, Moscow, 1975).

    Google Scholar 

  12. J. P. Henry and U. G. Briel, Astron. Astrophys. 259, L14 (1992).

    Google Scholar 

  13. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Readwood City, 1990).

    MATH  Google Scholar 

  14. E. Loh and E. J. Spillar, Astrophys. J. 307, L1 (1986).

    Article  ADS  Google Scholar 

  15. P. Valageas, Astron. Astrophys. 354, 767 (2000).

    ADS  Google Scholar 

  16. A. Dekel, D. Burstein, and S. D. M. White, in Proceedings of the Princeton 250th Anniversary Conference, 1996, Ed. by N. Turok (World Sci., Singapore, 1996), p. 175.

    Google Scholar 

  17. N. A. Bahcall, X. Fan, and R. Cen, Astrophys. J. 485, 53 (1997).

    Article  ADS  Google Scholar 

  18. P. G. Ferreira, R. Juszkiewicz, H. A. Feldman, et al., Astrophys. J. 515, 1 (1999).

    Article  ADS  Google Scholar 

  19. A. Melchiorri et al., Astrophys. J. 536, 63 (2000).

    Article  ADS  Google Scholar 

  20. E. Branchini, I. Zehavi, M. Plionis, and A. Dekel, Mon. Not. R. Astron. Soc. 313, 491 (2000).

    Article  ADS  Google Scholar 

  21. A. H. Guth, Phys. Rev D 23, 347 (1981).

    Article  ADS  Google Scholar 

  22. A. Linde, Phys. Lett. B 129, 177 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  23. A. A. Starobinsky, Phys. Lett. B 91, 99 (1980).

    Article  ADS  Google Scholar 

  24. A. H. Guth and S. Y. Pi, Phys. Rev. Lett. 49, 1110 (1982).

    Article  ADS  Google Scholar 

  25. S. W. Hawking, Phys. Lett. B 115, 295 (1982).

    Article  ADS  Google Scholar 

  26. A. A. Starobinsky, Phys. Lett. B 117, 175 (1982).

    Article  ADS  Google Scholar 

  27. A. Melchiorri, M. V. Sazhin, V. V. Shulga, and N. Vittorio, Astrophys. J. 518, 562 (1999).

    Article  ADS  Google Scholar 

  28. G. Efstathiou, in The Physics of the Early Universe, Ed. by A. Heavens, J. Peacock, and A. Davies (SUSSP, 1990).

  29. A. Finzi, Mon. Not. R. Astron. Soc. 127, 21 (1963).

    MATH  ADS  MathSciNet  Google Scholar 

  30. M. Milgrom, Astrophys. J. 270, 365 (1983).

    Article  ADS  Google Scholar 

  31. R. H. Sanders, Astron. Astrophys. 136, L21 (1984).

    ADS  Google Scholar 

  32. B. W. Lee and S. Weimberg, Phys. Rev. Lett. 39, 165 (1977).

    Article  ADS  Google Scholar 

  33. V. A. Lyubimov, E. G. Novikov, V. Z. Nozik, E. G. Tretyakov, and V. S. Kosik, Phys. Lett. B. 94, 266 (1980).

    Article  ADS  Google Scholar 

  34. N. A. Jelley, Philos. Trans. R. Soc. London, Ser. A 320, 487 (1986).

    ADS  Google Scholar 

  35. K. Zuber, Phys. Rep. 305, 295 (1998).

    Article  ADS  Google Scholar 

  36. H. R. Peccei-Quinn, Phys. Rev. Lett. 38, 1440 (1977).

    Article  ADS  Google Scholar 

  37. J. H. Jeans, Philos. Trans. R. Soc. London, Ser. A 199, 49 (1902).

    Google Scholar 

  38. P. J. E. Peebles, The Large Scale Structure of the Universe (Priceton Univ. Press, Princeton, 1980).

    Google Scholar 

  39. J. N. Fry, Astrophys. J. 262, 424 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  40. M. Davis and P. J. E. Peebles, Astrophys. J., Suppl. Ser. 34, 425 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  41. J. Silk, Astrophys. J. 151, 459 (1968).

    Article  ADS  Google Scholar 

  42. O. R. Bond and G. Efstathiou, Astrophys. J. 285, L45 (1984).

    Article  ADS  Google Scholar 

  43. R. Juskievicz, D. H. Sonoda, and J. D. Barrow, Mon. Not. R. Astron. Soc. 209, 139 (1984).

    ADS  Google Scholar 

  44. T. W. B. Kibble, and N. G. Turok, Philos. Trans. R. Soc. London, Ser. A 320, 565 (1986).

    ADS  MathSciNet  Google Scholar 

  45. Y. Suto, K. Sato, and H. Kodama, Prog. Teor. Phys. 73, 1151 (1985).

    Article  ADS  Google Scholar 

  46. N. Gouda and M. Sasaki, Prog. Theor. Phys. 76, 1016 (1986).

    Article  ADS  Google Scholar 

  47. Ya. B. Zel’dovich, Astron. Astrophys. 5, 84 (1970).

    ADS  Google Scholar 

  48. M. J. West, A. Dekel, and A. Oemler, Jr., Astrophys. J. 316, 1 (1987).

    Article  ADS  Google Scholar 

  49. G. Efstathiou and J. Silk, Fund. Cosmic Phys. 9, 1 (1983).

    ADS  Google Scholar 

  50. S. N. Gurbatov, A. I. Saichev, and S. F. Shandarin, Sov. Phys. Dokl. 30, 921 (1985).

    ADS  Google Scholar 

  51. W. H. Press and P. L. Schechter, Astrophys. J. 187, 425 (1974).

    Article  ADS  Google Scholar 

  52. J. M. Bardeen, J. R. Bond, N. Kaiser, and A. S. Szalay, Astrophys. J. 304, 15 (1986).

    Article  ADS  Google Scholar 

  53. J. E. Gunn and J. R. Gott, Astrophys. J. 176, 1 (1972).

    Article  ADS  Google Scholar 

  54. S. Bernardeau, Astrophys. J. 427, 51 (1994).

    Article  ADS  Google Scholar 

  55. P. Valageas, Astron. Astrophys. 382, 412 (2002).

    Article  MATH  ADS  Google Scholar 

  56. P. Valageas, Astron. Astrophys. 382, 450 (2002).

    Article  MATH  ADS  Google Scholar 

  57. Y. Hoffman and J. Shaham, Astrophys. J. 297, 16 (1985).

    Article  ADS  Google Scholar 

  58. B. S. Ryden, Astrophys. J. 329, 589 (1988).

    Article  ADS  Google Scholar 

  59. B. S. Ryden, Astrophys. J. 333, 78 (1988).

    Article  ADS  Google Scholar 

  60. A. Kashlinsky, Astrophys. J. 306, 374 (1986).

    Article  ADS  Google Scholar 

  61. A. Kashlinsky, Astrophys. J. 312, 497 (1987).

    Article  ADS  Google Scholar 

  62. P. J. E. Peebles, Astrophys. J. 365, 27 (1990).

    Article  ADS  Google Scholar 

  63. S. D. M. White, Mon. Not. R. Astron. Soc. 174, 19 (1976).

    ADS  Google Scholar 

  64. V. Antonuccio and S. Colafrancesco, Astrophys. J. 427, 72 (1994).

    Article  ADS  Google Scholar 

  65. M. Davis and P. J. E. Peebles, Astrophys. J., Suppl. Ser. 34, 425 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  66. J. D. Barrow and J. Silk, Astrophys. J. 250, 432 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  67. A. S. Szalay and J. Silk, Astrophys. J. 264, L31 (1983).

    Article  ADS  Google Scholar 

  68. J. V. Villumsen and M. Davis, Astrophys. J. 308, 499 (1986).

    Article  ADS  Google Scholar 

  69. O. R. Bond and S. T. Myers, Astrophys. J., Suppl. Ser. 103, 41 (1996).

    Article  ADS  Google Scholar 

  70. E. L. Lokas, R. Juskiewicz, F. R. Bouchet, and E. Hivon, Astrophys. J. 467, 1 (1996).

    Article  ADS  Google Scholar 

  71. Y. Hoffman, Astrophys. J. 301, 65 (1986).

    Article  ADS  Google Scholar 

  72. A. E. Evrard and M. M. Crone, Astrophys. J. 394, L1 (1992).

    Article  ADS  Google Scholar 

  73. E. Bertschinger and B. Jain, Astrophys. J. 431, 486 (1994).

    Article  ADS  Google Scholar 

  74. P. Monaco, Astrophys. J. 447, 23 (1995).

    Article  ADS  Google Scholar 

  75. M. Bartelmann, J. Ehlers, and P. Schneider, Astron. Astrophys. 280, 351 (1993).

    ADS  Google Scholar 

  76. E. Audit, R. Teyssier, and J. M. Alimi, Astron. Astrophys. 325, 439 (1997).

    ADS  Google Scholar 

  77. A. Del Popolo, E. N. Ercan, and Z. Q. Xia, Astron. J. 122, 487 (2001).

    Article  ADS  Google Scholar 

  78. A. Del Popolo, Astron. Astrophys. 387, 759 (2002).

    Article  MATH  ADS  Google Scholar 

  79. V. Icke, Astron. Astrophys. 27, 1 (1973).

    ADS  Google Scholar 

  80. S. D. M. White and J. Silk, Astrophys. J. 231, 1 (1979).

    Article  ADS  Google Scholar 

  81. T. Watanabe, Publ. Astron. Soc. Jpn. 45, 393 (1993).

    ADS  Google Scholar 

  82. A. Kashlinsky, Mon. Not. R. Astron. Soc. 208, 623 (1984).

    ADS  Google Scholar 

  83. S. Chandrasekhar and J. von Neumann, Astrophys. J. 95, 489 (1942).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  84. H. E. Kandrup, Phys. Rep. 63, 1 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  85. V. Antonuccio-Delogu and F. Atrio-Barandela, Astrophys. J. 392, 403 (1992).

    Article  ADS  Google Scholar 

  86. J. A. Peacock and A. F. Heavens, Mon. Not. R. Astron. Soc. 243, 133 (1990).

    ADS  Google Scholar 

  87. N. A. Bahcall and R. M. Soneira, Astrophys. J. 270, 20 (1983).

    Article  ADS  Google Scholar 

  88. M. Postman, M. J. Geller, and J. P. Huchra, Astrophys. J. 91, 1267 (1986).

    ADS  Google Scholar 

  89. M. Davis and P. J. E. Peebles, Astrophys. J. 267, 465 (1983).

    Article  ADS  Google Scholar 

  90. A. H. Gonzalez, D. Zaritsky, and R. Wechsler, Astrophys. J. 571, 129 (2002).

    Article  ADS  Google Scholar 

  91. F. Hoyle, in Problems of Cosmological Aerodynamics (Dayton, Ohio, 1949), p. 195.

    Google Scholar 

  92. P. J. E. Peebles, Astrophys. J. 155, 393 (1969).

    Article  ADS  Google Scholar 

  93. S. D. M. White, Astrophys. J. 286, 38 (1984).

    Article  ADS  Google Scholar 

  94. D. J. Eisenstein and A. Loeb, Astrophys. J. 439, 250 (1995).

    Article  ADS  Google Scholar 

  95. P. Catelan and T. Theuns, Mon. Not. Roy. Astron. Soc. 282, 436 (1996).

    ADS  Google Scholar 

  96. P. Catelan and T. Theuns, Mon. Not. R. Astron. Soc. 282, 455 (1996).

    ADS  Google Scholar 

  97. J. Barnes and G. Efstathiou, Astrophys. J. 319, 575 (1987).

    Article  ADS  Google Scholar 

  98. P. J. E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1993).

    Google Scholar 

  99. J. G. Bartlett and J. Silk, Astrophys. J. 407, L45 (1993).

    Article  ADS  Google Scholar 

  100. S. Colafrancesco, V. Antonuccio, and A. Del Popolo, Astrophys. J. 455, 32 (1995).

    Article  ADS  Google Scholar 

  101. R. K. Sheth and G. Tormen, Mon. Not. R. Astron. Soc. 308, 119 (1999).

    Article  ADS  Google Scholar 

  102. G. Efstathiou, R. S. Ellis, and B. A. Peterson, Mon. Not. R. Astron. Soc. 232, 431 (1988).

    ADS  Google Scholar 

  103. G. Efstathiou, C. S. Frenk, S. D. M. White, and M. Davis, Mon. Not. R. Astron. Soc. 235, 715 (1988).

    ADS  Google Scholar 

  104. G. Efstathiou and M. J. Rees, Mon. Not. R. Astron. Soc. 230, 5P (1988).

    ADS  Google Scholar 

  105. S. D. M. White, G. Efstathiou, and C. S. Frenk, Mon. Not. R. Astron. Soc. 262, 1023 (1993).

    ADS  Google Scholar 

  106. B. Jain and E. Bertschinger, Astrophys. J. 431, 495 (1994).

    Article  ADS  Google Scholar 

  107. C. Lacey and S. Cole, Mon. Not. R. Astron. Soc. 262, 627 (1993).

    ADS  Google Scholar 

  108. G. Efstathiou, Mon. Not. R. Astron. Soc. 272, L25 (1995).

    ADS  Google Scholar 

  109. J. Bond, G. Efstathiou, P. Lubin, and P. Meinhold, Phys. Rev. Lett. 66, 2179 (1991).

    Article  ADS  Google Scholar 

  110. T. G. Brainerd and J. V. Villumsen, Astrophys. J. 394, 409 (1992).

    Article  ADS  Google Scholar 

  111. J. M. Gelb and E. Bertschinger, Astrophys. J. 436, 467 (1994).

    Article  ADS  Google Scholar 

  112. C. Ma and E. Bertschinger, Astrophys. J. 434, L5 (1994).

    Article  ADS  Google Scholar 

  113. A. Klypin, S. Borgani, J. Holtzman, and J. Primack, Astrophys. J. 444, 1 (1995).

    Article  ADS  Google Scholar 

  114. C. Lacey and S. Cole, Mon. Not. R. Astron. Soc. 271, 676 (1994).

    ADS  Google Scholar 

  115. R. K. Sheth and G. Tormen, Mon. Not. R. Astron. Soc. 329, 61(ST1) (2002).

    Article  ADS  Google Scholar 

  116. C. S. Frenk, S. D. M. White, and M. Davis, Astrophys. J. 271, 417 (1983).

    Article  ADS  Google Scholar 

  117. J. Centrella and A. L. Mellot, Nature 305, 196 (1983).

    Article  ADS  Google Scholar 

  118. P. J. E. Peebles, Astrophys. J. 263, L1 (1982).

    Article  ADS  Google Scholar 

  119. G. R. Blumenthal, S. M. Faber, J. R. Primack, and M. J. Rees, Nature 311, 517 (1984).

    Article  ADS  Google Scholar 

  120. D. M. White, C. S. Frenk, M. Davis, and G. Efstathiou, Mon. Not. R. Astron. Soc. 262, 1023 (1993).

    ADS  Google Scholar 

  121. C. S. Frenk, S. D. M. White, and G. Efstathiou, Astrophys. J. 327, 507 (1988).

    Article  ADS  Google Scholar 

  122. M. J. Rees, Mon. Not. R. Astron. Soc. 213, 75p (1985).

    Google Scholar 

  123. J. Silk, Astrophys. J. 297, 1 (1985).

    Article  ADS  Google Scholar 

  124. A. Dekel and M. Rees, Nature 326, 455 (1987).

    Article  ADS  Google Scholar 

  125. A. Babul and S. D. M. White, Mon. Not. R. Astron. Soc. 253, 31P (1991).

    ADS  Google Scholar 

  126. R. G. Bower, P. Coles, C. S. Frenk, and S. D. M. White, Astrophys. J. 405, 403 (1993).

    Article  ADS  Google Scholar 

  127. A. Del Popolo and M. Gambera, Astron. Astrophys. 337, 96 (1998).

    ADS  Google Scholar 

  128. A. Del Popolo and M. Gambera, in General Relativity and Gravitation (Bistritza, Romania, 1998).

    Google Scholar 

  129. N. Kaiser and O. Lahav, Mon. Not. R. Astron. Soc. 237, 129 (1989).

    ADS  Google Scholar 

  130. A. E. Evrard, Astrophys. J. 341, L71 (1989).

    Article  ADS  Google Scholar 

  131. S. J. Maddox, G. Efstathiou, W. J. Sutherland, and J. Loveday, Mon. Not. R. Astron. Soc. 242, 43p (1990).

    Google Scholar 

  132. W. Saunders, C. Frenk, M. Rowan-Robinson, et al., Nature 349, 32 (1991).

    Article  ADS  Google Scholar 

  133. J. A. Peacock, Mon. Not. R. Astron. Soc. 253, 1p (1991).

    Google Scholar 

  134. J. A. Peacock and D. Nicholson, Mon. Not. R. Astron. Soc. 253, 307 (1991).

    ADS  Google Scholar 

  135. G. F. Smoot, C. L. Bennett, A. Kogut, et al., Astrophys. J. 396, L1 (1992).

    Article  ADS  Google Scholar 

  136. A. Dekel, E. Bertshinger, A. Yahil, et al., IRAS Galaxies Verses POTENT Mass: Density Fields, Biasing and Ω, Preprint IASSNS-AST 92/55 (Princeton, 1992).

  137. O. Lahav, A. Edge, A. C. Fabian, and A. Putney, Mon. Not. R. Astron. Soc. 238, 881 (1989).

    ADS  Google Scholar 

  138. P. J. E. Peebles, Astrophys. J. 284, 439 (1984).

    Article  ADS  Google Scholar 

  139. Q. Shafi and F. W. Stecker, Phys. Rev. D 29, 187 (1984).

    Article  ADS  Google Scholar 

  140. R. Valdarnini and S. A. Bonometto, Astron. Astrophys. 146, 235 (1985).

    ADS  Google Scholar 

  141. J. Holtzman, Astrophys. J., Suppl. Ser. 71, 1 (1989).

    Article  ADS  Google Scholar 

  142. R. K. Schaefer, Int. J. Mod. Phys. A 6, 2075 (1991).

    Article  ADS  Google Scholar 

  143. R. Y. Cen, N. Y. Gnedin, L. A. Kofman, and J. P. Ostriker, Astrophys. J. 399, L11 (1992).

    Article  ADS  Google Scholar 

  144. B. P. Schmidt et al., Astrophys. J. 507, 46 (1998); astro-ph/9805200.

    Article  ADS  Google Scholar 

  145. S. Perlmutter et al., Astrophys. J. 517, 565 (1999); astro-ph/9812133.

    Article  ADS  Google Scholar 

  146. J. P. Blakeslee et al., Astrophys. J. 589, 693 (2003); astro-ph/0302402.

    Article  ADS  Google Scholar 

  147. A. G. Riess et al., Astrophys. J. 560, 49 (2001); astro-ph/0104455.

    Article  ADS  Google Scholar 

  148. S. Perlmutter and B. P. Schmidt, astro-ph/0303428 (2003).

  149. J. L. Tonry et al., astro-ph/0305008 (2003).

  150. C. L. Bennett et al., astro-ph/0302207 (2003).

  151. G. F. Smoot et al., Astrophys. J. 396, L1 (1992).

    Article  ADS  Google Scholar 

  152. C. L. Bennett et al., Astrophys. J. 436, 423 (1994); astro-ph/9401012.

    Article  ADS  Google Scholar 

  153. D. N. Spergel et al., astro-ph/0302209 (2003).

  154. P. S. Corasaniti and E. J. Copeland, Phys. Rev. D 65, d300 (2002).

    Article  Google Scholar 

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Published in Russian in Astronomicheskiĭ Zhurnal, 2007, Vol. 84, No. 3, pp. 195–226.

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Del Popolo, A. Dark matter, density perturbations, and structure formation. Astron. Rep. 51, 169–196 (2007). https://doi.org/10.1134/S1063772907030018

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