ΔT/T beyond linear theory

  • Enrique Martínez-González
Part III The Cosmic Microwave Background
Part of the Lecture Notes in Physics book series (LNP, volume 470)


The major contribution to the anisotropy of the temperature of the Cosmic Microwave Background (CMB) radiation is believed to come from the interaction of linear density perturbations with the radiation previous to the decoupling time. Assuming a standard thermal history for the gas after recombination, only the gravitational field produced by the linear density perturbations present on a Ω≠1 universe can generate anisotropies at low z (these anisotropies would manifest on large angular scales). However, secondary anisotropies are inevitably produced during the nonlinear evolution of matter at late times even in a universe with a standard thermal history. Two effects associated to this nonlinear phase can give rise to new anisotropies: the time-varying gravitational potential of nonlinear structures (Rees-Sciama RS effect) and the inverse Compton scattering of the microwave photons with hot electrons in clusters of galaxies (Sunyaev-Zeldovich SZ effect). These two effects can produce distinct imprints on the CMB temperature anisotropy. We discuss the amplitude of the anisotropies expected and the relevant angular scales in different cosmological scenarios. Future sensitive experiments will be able to probe the CMB anisotropies beyong the first order primary contribution.


Cosmic Microwave Background Cosmic Microwave Background Anisotropy Rich Cluster Microwave Photon Inverse Compton Scattering 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Andreani, P. et al. 1996, ApJ, in pressGoogle Scholar
  2. Anile, A.M. and Motta, S. 1967, ApJ, 207, 685CrossRefADSMathSciNetGoogle Scholar
  3. Arnau, J.V., Fullana, M.J., Monreal, L. and Sáez, D. 1993, ApJ, 402, 359CrossRefADSGoogle Scholar
  4. Arnau, J.V., Fullana, M.J. and Saez, D. 1994, MNRAS, 268, L17ADSGoogle Scholar
  5. Atrio-Barandela, F. and Kashlinski, A. 1992, ApJ, 390, 322CrossRefADSGoogle Scholar
  6. Bartlett, J. and Silk, J. 1994, ApJ, 407, L45CrossRefADSGoogle Scholar
  7. Birkinshaw, M., Gull, S.F., Hardebeck, H.E. 1984, Nature, 309, 34CrossRefADSGoogle Scholar
  8. Birkinshaw, M., Hughes, J.P. and Arnaud, K.A. 1991, ApJ 379, 466CrossRefADSGoogle Scholar
  9. Birkinshaw, M. 1993, in Proc. Present and Future of the Cosmic Microwave Background, eds. J.L. Sanz, E., Martínez-González and L. Cayón (Springer-Verlag)Google Scholar
  10. Blumenthal, G.R., Nicolaci Da Costa, L., Goldwirth, D.S., Lecar, M. and Piran, T. 1992, ApJ, 388, 234CrossRefADSGoogle Scholar
  11. Briel, U.G., Henry, J.P. and Böhringer, H. 1992, A&A, 259, L31ADSGoogle Scholar
  12. Bond, J.R., Carr, B. and Hogan, C.J. 1991, ApJ, 367, 420CrossRefADSGoogle Scholar
  13. Bouchet, F., Juszkievicz, R., Colombi, S. and Pellat, R. 1993, preprintGoogle Scholar
  14. Carlstrom, J.E., Joy, M. and Grego, L. 1995, ApJ, 456, L75ADSGoogle Scholar
  15. Castander, F.J. et al. 1996, Nature, in pressGoogle Scholar
  16. Catelan, P., Lucchin, F., Matarrese, S. and Moscardini, L. 1995, preprintGoogle Scholar
  17. Cayón, L. 1995, in this volumeGoogle Scholar
  18. Cayón, L., Martínez-González, E., Sanz, J. L., Sugiyama, N. and Torres, S. 1996, MNRAS, in pressGoogle Scholar
  19. Ceballos, M.T. and Barcons, X. 1994, MNRAS, 271, 817ADSGoogle Scholar
  20. Chodorowski, M. 1992, MNRAS, 259, 218ADSGoogle Scholar
  21. Chodorowski, M. 1994, MNRAS, 266, 897ADSGoogle Scholar
  22. Colafrancesco, S., Mazzotta, P., Rephaeli, Y. and Vittorio, N. 1994, ApJ, 433, 454CrossRefADSGoogle Scholar
  23. Cole, S. and Kaiser, N. 1988, MNRAS, 233, 637ADSGoogle Scholar
  24. Dyer, C.C. and Ip, P.S.S. 1988, MNRAS, 235, 895ADSGoogle Scholar
  25. Edge, A.C., Stwart, G.C., Fabian, A.C. and Arnaud, K.A. 1990, MNRAS, 245, 559ADSGoogle Scholar
  26. Fabbri, R. 1981, Astrophys. Space Sci., 77, 529CrossRefADSGoogle Scholar
  27. Fang, L. and Wu, X. 1993, ApJ, 408, 25CrossRefADSGoogle Scholar
  28. Fullana, M.J., Arnau, J.V. and Sáez, D. 1996, MNRAS, in pressGoogle Scholar
  29. Geller, M.J. and Huchra, J. 1989, Science, 246, 897CrossRefADSGoogle Scholar
  30. Giogia, I.M., Henry, J.P., Maccacaro, T., Morris, S.L., Stocke, J.T. and Wolter, A. 1990, ApJ, 356, L35CrossRefADSGoogle Scholar
  31. Goroff, H., Gristein, B., Rey, S.-J. and Wise, M.B. 1986, ApJ, 311, 6CrossRefADSGoogle Scholar
  32. Gorski, K.M., Ratra, B., Sugiyama, N. and Banday, A.J., 1995, ApJ, 444, L65.CrossRefADSGoogle Scholar
  33. Gouda, N., Sugiyama, N. and Sasaki, N. 1991, Prog. Theor. Phys., 85, 1023CrossRefADSGoogle Scholar
  34. Grainge, K., Jones, M., Pooley, G., Saunders, R. and Edge, A. 1993, MNRAS, 265, L57ADSGoogle Scholar
  35. Grainge, K., Jones, M., Pooley, G., Saunders, R., Baker, J., Haynes, T. and Edge, A. 1996, MNRAS, 278, L17ADSGoogle Scholar
  36. Haelhnelt, M.G. and Tegmark, M. 1995, preprintGoogle Scholar
  37. Henry, J.P., Giogia, I.M., Maccacaro, T., Morris, S.L., Stocke, J.T. and Wolter, A. 1992, ApJ, 386, 408CrossRefADSGoogle Scholar
  38. Herbig, T., Lawrence, C.R. and Readhead, A.C.S. 1995, ApJ, 449, L5CrossRefADSGoogle Scholar
  39. Hu, W. 1995, in this volumeGoogle Scholar
  40. Hughes, J.P., Gorestein, P. and Fabricant, A. 1988, ApJ, 329, 82CrossRefADSGoogle Scholar
  41. Jones, M., Saunders, R., Alexander, P., Birkinshaw, M. and Dillon, N. 1993, Nature, 365, 320CrossRefADSGoogle Scholar
  42. Kirshner, R.P., Oemler, A., Schechter, P.L. and Schectman, S.A. 1981, ApJ, 248, L57CrossRefADSGoogle Scholar
  43. Kompaneets, A.S. 1957, Sov. Phys. JETP, 4, 730MathSciNetGoogle Scholar
  44. de Lapparent, V., Geller, M.J. and Huchra, J. 1986, ApJ, 302, L1CrossRefADSGoogle Scholar
  45. De Luca, A., Désert, F.X. and Puget, J.L. 1995, A&A, 300, 335ADSGoogle Scholar
  46. Lynden-Bell, D., Faber, S.M., Burstein, D., Davies, R.L., Dressler, A., Terlevich, R. and Wegner, G. 1988, ApJ, 326, 19CrossRefADSGoogle Scholar
  47. Makino, N. and Suto, Y. 1993, ApJ, 405, 1CrossRefADSGoogle Scholar
  48. Markevitch, M., Blumenthal, G.R., Forman, W., Jones, C. and Sunyaev, R.A. 1991, ApJ, 378, L33CrossRefADSGoogle Scholar
  49. Markevitch, M., Blumenthal, G.R., Forman, W., Jones, C. and Sunyaev, R.A. 1992, ApJ, 395, 326CrossRefADSGoogle Scholar
  50. Martínez-González, E. and Sanz, J.L. 1990, MNRAS, 247, 473ADSGoogle Scholar
  51. Martínez-González, E. and sanz, J.L. 1995, Astro. Lett. and Comm., 32, 89ADSGoogle Scholar
  52. Martínez-González, E., Sanz, J.L. and Silk, J. 1990, ApJ, 355, L5CrossRefADSGoogle Scholar
  53. Martínez-González, E., Sanz, J.L. and Silk, J. 1992, Phys. Rev. D, 46, 4193CrossRefADSGoogle Scholar
  54. Martínez-González, E., Sanz, J.L. and Silk, J. 1994, ApJ, 436, 1CrossRefADSGoogle Scholar
  55. Meszaros, A. 1994, ApJ, 423, 19CrossRefADSGoogle Scholar
  56. Mollerach, S., Gangui, A., Lucchin, F. and Matarrese, S. 1995, ApJ, 453, 1CrossRefADSGoogle Scholar
  57. Munshi, D., Souradeep, T. and Starobinsky, A.A. 1995, ApJ, 454, 552CrossRefADSGoogle Scholar
  58. Nottale, L. 1984, MNRAS, 206, 713ADSGoogle Scholar
  59. Panek, M. 1992, ApJ, 388, 225CrossRefADSGoogle Scholar
  60. Peebles, P. J. E. 1980, The Large Scale Structure of the Universe, (Princeton, Princeton University Press, 1980)Google Scholar
  61. Press, W.H. and Schechter, P. 1974, ApJ, 187, 425CrossRefADSGoogle Scholar
  62. Raphaeli, Y. 1995, ApJ, 445, 33CrossRefADSGoogle Scholar
  63. Raphaeli, Y. 1995, Annu. Rev. Astron. Astrophys., 33, 541CrossRefADSGoogle Scholar
  64. Ratra, B. and Peebles, P. J. E., 1994, ApJ, 432, L5.CrossRefADSGoogle Scholar
  65. Rees, M.J. and Sciama, D.W. 1968, Nature, 217, 355CrossRefGoogle Scholar
  66. Sachs, R.K. and Wolfe, A.N. 1967, ApJ, 147, 73CrossRefADSGoogle Scholar
  67. Saez, D., Arnau, J.V. and Fullana, M.J. 1993, MNRAS, 263, 681ADSGoogle Scholar
  68. Sanz, J.L. and Cayón, L. 1996, Proc. Conf. Mapping, Measuring and Modelling the Universe, eds. P. Coles, V. Martínez and MJ. Ponz (ASP Conf. Series)Google Scholar
  69. Sanz, J.L., Martínez-González, E., Cayón, L., Silk, J. and Sugiyama, N. 1995, ApJ. in pressGoogle Scholar
  70. Seljak, U. 1996, ApJ,, in press.Google Scholar
  71. Smoot, G. et al. 1992, ApJ, 396, L1CrossRefADSGoogle Scholar
  72. Saunders, R. 1995, Astrophys. Lett. Commun., 32, 339ADSGoogle Scholar
  73. Sunyaev, R.A. and Zeldovich, Y.B. 1970, Astrophys. Space Sci., 7, 3ADSGoogle Scholar
  74. Sunyaev, R.A. and Zeldovich, Y.B. 1972, Comments Astrophys. Space Phys., 4, 173ADSGoogle Scholar
  75. Sunyaev, R.A. and Zeldovich, Y.B. 1980, Annu. Rev. Astron. Astrophys., 18, 537CrossRefADSGoogle Scholar
  76. Suto, Y. and Sasaki, M. 1991, Phys. Rev. D, 66, 265Google Scholar
  77. Thompson, K.L. and Vishniac, E.T. 1987, ApJ, 313, 517CrossRefADSGoogle Scholar
  78. Tului, R. and Laguna, P. 1995, ApJ, 445, L73CrossRefADSGoogle Scholar
  79. Tului, R., Laguna, P. and Anninos, P. 1996, preprintGoogle Scholar
  80. Vishniac, E.T. 1987, ApJ, 322, 597CrossRefADSGoogle Scholar
  81. Wilbanks, T.M., Ade, P.A.R., Fisher, M.L., Holzapfel, W.L. and Lange, A.E. 1994, ApJ, 427, 75CrossRefADSGoogle Scholar
  82. Wilson, M.L. 1983, ApJ, 420, 1Google Scholar
  83. Zeldovich, Y.B. and Sunyaev, R.A. 1969, Astrophys. Space Sci., 4, 301CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Enrique Martínez-González
    • 1
  1. 1.Instituto de Física de Cantabria, Consejo Superior de InvestigacionesCientíficas-Universidad de Cantabria, Facultad de CienciasSantanderSpain

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