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Cosmic Defects and Cosmology

  • Chapter
Large Scale Structure Formation

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 247))

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Abstract

We provide a pedagogical overview of defect models of structure formation. We first introduce the concept of topological defect, and describe how to classify them. We then show how defects might be produced in phase transitions in the Early Universe and approach non-pathological scaling solutions. A very heuristic account of structure formation with defects is the provided, following which we introduce the tool box required for high precision calculations of CMB and LSS power spectra in these theories. The decomposition into scalar vector and tensor modes is reviewed, following which we introduce the concept of unequal-time correlator. We use isotropy and causality to constrain the form of these correlators. We finally show how these correlators may be decomposed into eigenmodes, thereby reducing a defect problem to a series of “inflation” problems. We conclude with a short description of results in these theories and how they fare against observations. We finally describe yet another application of topological defects in cosmology: baryogenesis.

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References

  1. T.W.G. Kibble, Phys. Rep 67, 183 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  2. A. Vilenkin, Phys. Rep. 121, 263 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  3. A. Vilenkin and E.P.S. Shellard, ‘Strings and Other Topological Defects’ (Cambridge Univ. Press, Cambridge, 1994 ).

    Google Scholar 

  4. M. Hindmarsh and T.W.B. Kibble, Rep. Prog. Phys. 58, 477 (1995).

    Article  MathSciNet  ADS  Google Scholar 

  5. R. Brandenberger, Int. J. Mod. Phys. A9, 2117 (1994).

    ADS  Google Scholar 

  6. R. Brandenberger, A.-C. Davis and M. Hindmarsh, Phys. Lett. B263, 239 (1991).

    ADS  Google Scholar 

  7. R. Brandenberger, A.-C. Davis and M. Trodden, Phys. Lett B332, 305 (1994)

    ADS  Google Scholar 

  8. R. Brandenberger and A.-C. Davis, Phys. Lett. B308, 79 (1993).

    ADS  Google Scholar 

  9. R. Brandenberger, A.-C. Davis and M. Trodden, Phys. Lett. B332, 305 (1994);

    ADS  Google Scholar 

  10. R. Brandenberger, A.-C. Davis, T. Prokopec and M. Trodden, Phys. Rev. D53, 4257 (1996).

    ADS  Google Scholar 

  11. K. Dimopoulos, Phys. Rev. D57, 4629 (1998).

    ADS  Google Scholar 

  12. R. Brandenberger and X. Zhang, Phys. Rev D59, 081301 (1999).

    ADS  Google Scholar 

  13. J. MacGibbon and R. Brandenberger, Nucl. Phys. B331, 153 (1990).

    Article  ADS  Google Scholar 

  14. P. Bhattacharjee, Phys. Rev. D40, 3968 (1989).

    ADS  Google Scholar 

  15. P. Bhattacharjee and N. Rana, Phys. Lett. B246, 365 (1990).

    ADS  Google Scholar 

  16. G. Sigl, D. Schramm and P. Bhattacharjee, Astropart. Phys. 2, 401 (1994).

    Article  ADS  Google Scholar 

  17. V. Berezinsky, M. Kachelriess and A. Vilenkin, Phys. Rev. Lett. 79, 4302 (1997).

    Article  ADS  Google Scholar 

  18. T.W.B. Kibble, J. Phys A9, 1387 (1976).

    ADS  Google Scholar 

  19. Ya.B. Zel’dovich, Mon. Not. R. astron. Soc. 192, 663 (1980).

    ADS  Google Scholar 

  20. A. Vilenkin, Phys. Rev. Lett. 46, 1169 (1981).

    Article  ADS  Google Scholar 

  21. R. Davis, Phys. Rev. D35, 3705 (1987).

    ADS  Google Scholar 

  22. N. Turok, Phys. Rev. Lett. 63, 2625 (1989).

    Article  ADS  Google Scholar 

  23. H. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973).

    Article  ADS  Google Scholar 

  24. D. Kirzhnits and A. Linde, Pis’ma Zh. Eksp. Teor. Fiz. 15, 745 (1972).

    ADS  Google Scholar 

  25. D. Kirzhnits and A. Linde, Zh. Eksp. Teor. Fiz. 67, 1263 (1974).

    ADS  Google Scholar 

  26. C. Bernard, Phys. Rev. D9, 3313 (1974).

    ADS  Google Scholar 

  27. L. Dolan and R. Jackiw, Phys. Rev. D9, 3320 (1974).

    ADS  Google Scholar 

  28. S. Weinberg, Phys. Rev. D9, 3357 (1974).

    ADS  Google Scholar 

  29. R. Brandenberger, Rev. Mod. Phys. 57, 1 (1985).

    Article  ADS  Google Scholar 

  30. T.W.B. Kibble, Acta Physica Polonica B13, 723 (1982).

    ADS  Google Scholar 

  31. W. Zurek, Acta Phys. Pol. B24, 1301 (1993).

    Google Scholar 

  32. P. Langacker and S.-Y. Pi, Phys. Rev. Lett. 45, 1 (1980).

    Article  ADS  Google Scholar 

  33. T.W.B. Kibble and E. Weinberg, Phys. Rev. D43, 3188 (1991).

    ADS  Google Scholar 

  34. T. Vachaspati and A. Vilenkin, Phys. Rev. D30, 2036 (1984).

    ADS  Google Scholar 

  35. N. Turok, Phys. Seripta T36, 135 (1991).

    Article  ADS  Google Scholar 

  36. T. Prokopec, A. Sornborger and R. Brandenberger, Phys. Rev. D45, 1971 (1992).

    ADS  Google Scholar 

  37. J. Borrill, E. Copeland and A. Liddle, Phys. Lett. 258B, 310 (1991).

    ADS  Google Scholar 

  38. A. Sornborger, Phys. Rev. D48, 3517 (1993).

    MathSciNet  ADS  Google Scholar 

  39. Ya.B. Zel’dovich, I. Kobzarev and L. Okun, Zh. Eksp. Teor. Fix. 67, 3 (1974).

    ADS  Google Scholar 

  40. Ya.B. Zel’dovich and M. Khlopov, Phys. Lett. 79B, 239 (1978).

    ADS  Google Scholar 

  41. J. Preskill, Phys. Rev. Lett. 43, 1365 (1979).

    Article  ADS  Google Scholar 

  42. M. Barriola and A. Vilenkin, Phys. Rev. Lett. 63, 341 (1989).

    Article  ADS  Google Scholar 

  43. S. Rhie and D. Bennett, Phys. Rev. Lett. 65, 1709 (1990).

    Article  ADS  Google Scholar 

  44. N. Turok, Nucl. Phys. B242, 520 (1984).

    Article  ADS  Google Scholar 

  45. N. Turok and R. Brandenberger, Phys. Rev. D33, 2175 (1986).

    ADS  Google Scholar 

  46. A. Stebbins, Ap. J. (Lett.) 303, L21 (1986).

    Article  ADS  Google Scholar 

  47. H. Sato, Prog. Theor. Phys. 75, 1342 (1986).

    Article  ADS  Google Scholar 

  48. J. Silk and V. Vilenkin, Phys. Rev. Lett. 53, 1700 (1984).

    Article  ADS  Google Scholar 

  49. A. Vilenkin, Phys. Rev. D23, 852 (1981).

    ADS  Google Scholar 

  50. J. Gott, Ap. J. 288, 422 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  51. W. Hiscock, Phys. Rev, D31, 3288 (1985).

    MathSciNet  ADS  Google Scholar 

  52. B. Linet, Gen. Rel. Gray 17, 1109 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  53. D. Garfinkle, Phys. Rev. D32, 1323 (1985).

    MathSciNet  ADS  Google Scholar 

  54. R. Gregory, Phys. Rev. Lett. 59, 740 (1987).

    Article  ADS  Google Scholar 

  55. T. Vachaspati, Phys. Rev. Lett. 57, 1655 (1986).

    Article  ADS  Google Scholar 

  56. A. Stebbins, S. Veeraraghavan, R. Brandenberger, J. Silk and N. Turok, Ap. J. 322, 1 (1987).

    Article  ADS  Google Scholar 

  57. R. Brandenberger, L. Perivolaropoulos and A. Stebbins, Int. J. of Mod. Phys. A5, 1633 (1990).

    Article  ADS  Google Scholar 

  58. L. Perivolaropoulos, R. Brandenberger and A. Stebbins, Phys. Rev. D41, 1764 (1990).

    ADS  Google Scholar 

  59. R. Brandenberger, Phys. Scripta T36, 114 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  60. B. Carter, Phys. Rev. D41, 3869 (1990).

    ADS  Google Scholar 

  61. D. Vollick, Phys. Rev. D45, 1884 (1992).

    ADS  Google Scholar 

  62. T. Vachaspati and A. Vilenkin, Phys. Rev. Lett. 67, 1057 (1991).

    Article  ADS  Google Scholar 

  63. A. Aguirre and R. Brandenberger, Int. J. Mod. Phys. D4, 711 (1995).

    ADS  Google Scholar 

  64. R. Brandenberger, N. Kaiser, D. Schramm and N. Turok, Phys. Rev. Lett. 59, 2371 (1987).

    Article  ADS  Google Scholar 

  65. R. Brandenberger, N. Kaiser and N. Turok, Phys. Rev. D36, 2242 (1987).

    ADS  Google Scholar 

  66. R. Moessner and R. Brandenberger, Mon. Not. R. astron. Soc. 277, 927 (1995).

    ADS  Google Scholar 

  67. V. Zanchin, J.A.S. Lima and R. Brandenberger, Phys. Rev. D54, 7129 (1996).

    ADS  Google Scholar 

  68. W. Hu and N. Sugiyama, Ap. J. 444, 480 (1995).

    Article  ADS  Google Scholar 

  69. U. Seljak, Ap. J. (Lett.) 435, 87 (1994).

    Article  ADS  Google Scholar 

  70. W. Hu and M. White, Phys. Rev. D56, 596 (1997).

    ADS  Google Scholar 

  71. U-L. Pen, U. Seljak and N. Turok, Phys. Rev. Lett. 79, 1611 (1997).

    Article  ADS  Google Scholar 

  72. C. Contaldi, M. Hindmarsh and J. Magueijo, Phys. Rev. Lett. 82, 679 (1999).

    Article  ADS  Google Scholar 

  73. C. Contaldi, M. Hindmarsh and J. Magueijo, Phys. Rev. Lett. 82, 2034 (1999).

    Article  ADS  Google Scholar 

  74. B. Allen et al, Phys. Rev. Lett. 79, 2624 (1997).

    Article  ADS  Google Scholar 

  75. A. Albrecht, R. Battye and J. Robinson, Phys. Rev. Lett. 79, 4736–4739 (1997).

    Article  ADS  Google Scholar 

  76. G. Vincent, N. Antunes and M. Hindmarsh, Phys. Rev. Lett. 80, 2277 (1998).

    Article  ADS  Google Scholar 

  77. A. Albrecht et al., Phys. Rev. Lett. 76, 1413 (1996).

    Article  ADS  Google Scholar 

  78. J. Magueijo et al, Phys. Rev. Lett. 76, 2617 (1996).

    Article  ADS  Google Scholar 

  79. J. Traschen, Phys. Rev. D31, 283 (1985).

    MathSciNet  ADS  Google Scholar 

  80. J. Traschen, Phys. Rev. D29, 1563 (1984).

    ADS  Google Scholar 

  81. J. Robinson and B. Wandelt, Phys. Rev. D53, 618 (1996).

    ADS  Google Scholar 

  82. L. Abbott and J. Traschen, Ap. J 302, 39 (1986).

    Article  ADS  Google Scholar 

  83. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1 (1984).

    Article  ADS  Google Scholar 

  84. N. Turok, U-L. Pen and U. Seljak, Phys. Rev D58, (1998).

    Google Scholar 

  85. J-P. Uzan, N. Deruelle and A. Riazuelo, astro-ph/9810313.

    Google Scholar 

  86. A. Smith and A. Vilenkin, Phys. Rev. D36, 990 (1987).

    ADS  Google Scholar 

  87. M. Sakellariadou and A. Vilenkin, Phys. Rev. D42, 349 (1990).

    ADS  Google Scholar 

  88. U. Seljak and M. Zaldarriaga, Ap. J. 469, 437 (1997).

    Article  ADS  Google Scholar 

  89. G. Vincent, M. Hindmarsh, and M. Sakellariadou, Phys.Rev D55, 573 (1997).

    ADS  Google Scholar 

  90. G. Vincent, M. Hindmarsh, and M. Sakellariadou, Phys.Rev D56, 637 (1997).

    ADS  Google Scholar 

  91. L. Perivolaropoulos, Ap. J. 451, 429 (1995).

    Article  ADS  Google Scholar 

  92. J. Peacock and S. Dodds, Mon. Not. R. astron. Soc. 267, 1020 (1994).

    ADS  Google Scholar 

  93. A. Albrecht, R. Battye and J. Robinson, Phys. Rev. Lett. 80, 4847 (1998).

    Article  ADS  Google Scholar 

  94. P. Avelino, E.P.S. Shellard, J.H.P. Wu and B. Allen, Phys. Rev. Lett. 81, 2008 (1998).

    Article  ADS  Google Scholar 

  95. J. Casas, J. Moreno, C. Muñoz, and M. Quirós, Nucl. Phys. B328, 272 (1989).

    Article  ADS  Google Scholar 

  96. E. Halyo, Phys. Lett. B387, 43 (1996).

    MathSciNet  ADS  Google Scholar 

  97. P. Binétruy and G. Dvali, Phys. Lett. B388, 241 (1996).

    ADS  Google Scholar 

  98. R. Jeannerot, Phys. Rev. D56, 6205 (1997).

    MathSciNet  ADS  Google Scholar 

  99. D. Lyth and A. Riotto, hep-ph/9807278.

    Google Scholar 

  100. E. Copeland et al., Phys. Rev. D49, 6410 (1994).

    ADS  Google Scholar 

  101. I. Tkachev et al., hep-ph/9805209.

    Google Scholar 

  102. T. Kanazawa et al., hep-ph/9803293.

    Google Scholar 

  103. J. Barrow and A. Liddle, Gen. Rel. Gray. 29, 1503 (1997).

    Article  ADS  MATH  Google Scholar 

  104. C. Steidel et al., astro-ph/9708125.

    Google Scholar 

  105. L. Storrie-Lombardi, R. McMahon, and M. Irwin, Mon. Not. R. astron. Soc. 283, L79 (1996).

    ADS  Google Scholar 

  106. R. Battye and J. Weller, astro-ph/9810203.

    Google Scholar 

  107. R. Battye, J. Magueijo and J. Weller, astro-ph/9906093.

    Google Scholar 

  108. A. Sakharov, Pisma Zh. Eksp. Teor. Fiz. 5, 32 (1967).

    Google Scholar 

  109. M. Yoshimura, Phys. Rev. Lett. 41, 281 (1978).

    Article  ADS  Google Scholar 

  110. A. Ignatiev, N. Krasnikov, V. Kuzmin and A. Tavkhelidze, Phys. Lett. 76B, 436 (1978).

    ADS  Google Scholar 

  111. S. Dimopoulos and L. Susskind, Phys. Rev. D18, 4500 (1978).

    ADS  Google Scholar 

  112. S. Weinberg, Phys. Rev. Lett. 42, 850 (1979).

    Article  ADS  Google Scholar 

  113. D. Toussaint, S. Trieman, F. Wilczek and A. Zee, Phys. Rev. D19, 1036 (1979).

    ADS  Google Scholar 

  114. A. Dolgov, Phys. Rep. 222, 309 (1992).

    Article  ADS  Google Scholar 

  115. V. Rubakov and M. Shaposhnikov, Usp. Fiz. Nauk 166, 493 (19960, hepph/9603208.

    Google Scholar 

  116. G. t’Hooft, Phys. Rev. Lett. 37, 8 (1976).

    Article  ADS  Google Scholar 

  117. N. Manton, Phys. Rev. D28, 2019 (1983).

    MathSciNet  ADS  Google Scholar 

  118. F. Klinkhamer and N. Manton, Phys. Rev. D30, 2212 (1984).

    ADS  Google Scholar 

  119. V. Kuzmin, V. Rubakov and M. Shaposhnikov, Phys. Lett. B155, 36 (1985).

    ADS  Google Scholar 

  120. P. Arnold and L. McLerran, Phys. Rev. D36, 581 (1987).

    ADS  Google Scholar 

  121. M. Shaposhnikov, JETP Lett 44, 465 (1986).

    ADS  Google Scholar 

  122. M. Shaposhnikov, Nucl. Phys. B287, 757 (1987).

    Article  ADS  Google Scholar 

  123. L. McLerran, Phys. Rev. Lett. 62, 1075 (1989).

    Article  ADS  Google Scholar 

  124. N. Turok, in ‘Perspectives on Higgs Physics’, ed. G. Kane ( World Scientific, Singapore, 1992 ).

    Google Scholar 

  125. A. Cohen, D. Kaplan and A. Nelson, Ann. Rev. Nucl. Part. Sci. 43, 27 (1993).

    Article  ADS  Google Scholar 

  126. M. Trodden, Rev. Mod. Phys. 71, 1463 (1999).

    Article  ADS  Google Scholar 

  127. A. Riotto and M. Trodden, hep-ph/9901362.

    Google Scholar 

  128. A. Cohen, D. Kaplan and A. Nelson, Phys. Lett. B245, 561 (1990).

    ADS  Google Scholar 

  129. A. Cohen, D. Kaplan and A. Nelson, Nucl. Phys. B349, 727 (1991).

    Article  ADS  Google Scholar 

  130. A. Nelson, D. Kaplan and A. Cohen, Nucl. Phys. B373, 453 (1992).

    Article  ADS  Google Scholar 

  131. M. Joyce, T. Prokopec and N. Turok, Phys. Lett. B338, 269 (1994).

    ADS  Google Scholar 

  132. M. Joyce, T. Prokopec and N. Turok, Phys. Rev. Lett. 75, 1695 (1995).

    Article  ADS  Google Scholar 

  133. N. Turok and T. Zadrozny, Phys. Rev. Lett. 65, 2331 (1990).

    Article  ADS  Google Scholar 

  134. N. Turok and J. Zadrozny, Nucl. Phys. B358, 471 (1991).

    Article  ADS  Google Scholar 

  135. L. McLerran, M. Shaposhnikov, N. Turok and M. Voloshin, Phys. Lett. B256, 451 (1991).

    ADS  Google Scholar 

  136. M. Dine, P. Huet, R. Singleton and L. Susskind, Phys. Lett. B257, 351 (1991).

    ADS  Google Scholar 

  137. A. Cohen, D. Kaplan and A. Nelson, Phys. Lett. B263, 86 (1991).

    ADS  Google Scholar 

  138. M. Joyce, T. Prokopec and N. Turok, Phys. Rev. D53, 2958 (1996).

    ADS  Google Scholar 

  139. M. Gleiser, Phys. Rev. Lett. 73, 3495 (1994).

    Article  ADS  Google Scholar 

  140. J. Borrill and M. Gleiser, Phys. Rev. D51, 4111 (1995).

    ADS  Google Scholar 

  141. W. Perkins, Nucl. Phys. B449, 265 (1995).

    Article  ADS  Google Scholar 

  142. J. Cline, J. Espinoza, G. Moore and A. Riotto, Phys. Rev D59, 065014 (1999).

    ADS  Google Scholar 

  143. M. Trodden, A.-C. Davis and R. Brandenberger, Phys. Lett. B349, 131 (1995).

    ADS  Google Scholar 

  144. M. Nagasawa and R. Brandenberger, Phys. Lett. B467, 205 (1999).

    ADS  Google Scholar 

  145. A. Achucarro and T. Vachaspati, hep-ph/9904229.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Theoretical Physics,The Blackett Laboratory, Imperial College, Prince Consort Road, London, SW7 2BZ, UK

    João Magueijo

  2. Physics Department, Brown University, Providence, RI, 02912, USA

    Robert H. Brandenberger

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  1. João Magueijo
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  2. Robert H. Brandenberger
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Editor information

Editors and Affiliations

  1. Institute for Studies in Theoretical Physics & Mathematics, Tehran, Iran

    Reza Mansouri

  2. Brown University, Providence, RI, USA

    Robert Brandenberger

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Magueijo, J., Brandenberger, R.H. (2000). Cosmic Defects and Cosmology. In: Mansouri, R., Brandenberger, R. (eds) Large Scale Structure Formation. Astrophysics and Space Science Library, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4175-8_6

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