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The case for an open Universe

Nature volume 370, pages 609–615 (1994)Cite this article

Abstract

Contrary to popular belief, there is as yet no convincing evidence that the Universe has a density near the critical value required for closure. Indeed, a low-density Universe is favoured by many of the observations. Cosmologists should therefore keep an open mind about this question until it is settled by empirical data.

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References

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

    Google Scholar 

  2. Weinberg, S. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).

    Google Scholar 

  3. Peebles, P. J. E. Nature 321, 27–32 (1986).

    ADS  Google Scholar 

  4. Cho, H. T. & Kantowski, R. A Measure on a Subspace of FRW Solutions and the “Flatness Problem” of Standard Cosmology. Preprint (Department of Physics and Astronomy, University of Oklahoma, Norman, 1994).

    Google Scholar 

  5. Gibbons, G. W., Hawking, S. W. & Stewart, J. M. Nucl. Phys. B281, 736–751 (1987).

    ADS  Google Scholar 

  6. Hawking, S. W. & Page, D. N. Nucl. Phys. B298, 789–809 (1988).

    ADS  Google Scholar 

  7. Ellis, G. F. R. in Gravitation, Proc. Banff Summer Research Institute on Gravitation (eds Mann, R. & Wesson, P.) 3–53 (World Scientific, Singapore, 1991).

    Google Scholar 

  8. Barrow, J. D. & Tipler, F. J. The Anthropic Cosmological Principle (Oxford Univ. Press, UK, 1986).

    Google Scholar 

  9. Garrett, A. J. M. & Coles, P. Comments Astrophys. 17, 23–47 (1993).

    Google Scholar 

  10. Guth, A. H. Phys. Rev. D23, 347–356 (1981).

    ADS  CAS  Google Scholar 

  11. Kolb, E. & Turner, M. S. The Early Universe (Addison Wesley, Redwood, 1990).

    MATH  Google Scholar 

  12. Linde, A. Inflation and Quantum Cosmology (Academic, Boston, 1990).

    MATH  Google Scholar 

  13. Olive, D. Phys. Rep. 190, 307–403 (1990).

    ADS  CAS  Google Scholar 

  14. Lucchin, F. & Matarrese, S. Phys. Lett. 164B, 282–286 (1985).

    ADS  CAS  Google Scholar 

  15. Ellis, G. F. R. Class. Qu. Grav. 5, 891–901 (1988).

    ADS  CAS  Google Scholar 

  16. Hubner, P. & Ehlers, J. Class. Qu. Grav. 8, 333–346 (1991).

    ADS  Google Scholar 

  17. Ellis, G. F. R., Lyth, D. H. & Mijic, M. B. Phys. Lett. B271, 52–55 (1991).

    MathSciNet  Google Scholar 

  18. Madsen, M. S. & Ellis, G. F. R. Mon. Not. R. astr. Soc. 234, 67–77 (1988).

    ADS  CAS  Google Scholar 

  19. Sandage, A. R. Astrophys. J. 252, 553–573 (1982).

    ADS  CAS  Google Scholar 

  20. Symbalisky, E. M. D. & Schramm, D. N. Rep. Prog. Phys. 44, 293–328 (1981).

    ADS  Google Scholar 

  21. Carney, B. W. Highlights of Astronomy Vol. 6 (ed. West, R. M.) 255–266 (Reidel, Dordrecht, 1983).

    Google Scholar 

  22. Cannon, R. Q. Highlights of Astronomy Vol. 6 (ed. West, R. M.) 109–117 (Reidel, Dordrecht, 1983).

    Google Scholar 

  23. Rowan-Robinson, M. The Cosmological Distance Ladder (Freeman, New York, 1985).

    Google Scholar 

  24. Fukugita, M., Hogan, C. J. & Peebles, P. J. E. Nature 366, 309–312 (1993).

    ADS  Google Scholar 

  25. Walker, T. P. et al. Astrophys. J. 378, 51–69 (1991).

    ADS  Google Scholar 

  26. Gott, J. R., Gunn, J. E., Schramm, D. N. & Tinsley, B. M. Astrophys. J. 194, 543–553 (1974).

    ADS  CAS  Google Scholar 

  27. White, S. D. M., Navarro, J. F., Evrard, A. E. & Frenk, C. S. Nature 366, 429–433 (1933).

    ADS  Google Scholar 

  28. Hogan, C. J. Ann. N. Y. Acad. Sci. 647, 76–85 (1991).

    ADS  CAS  Google Scholar 

  29. Sandage, A. R. Phys. Today 23, 34–43 (1967).

    Google Scholar 

  30. Kellerman, K. I. Nature 361, 134–136 (1993).

    ADS  Google Scholar 

  31. Fahlman, G., Kaiser, N., Squires, G. & Woods, D. Astrophys. J. (in the press).

  32. Tyson, J. A., Valdes, F. & Wenk, R. A. Astrophys. J. 349, L1–L4 (1990).

    ADS  Google Scholar 

  33. Gardner, J. P., Cowie, L. L. & Wainscoat, R. J. Astrophys. J. 415, 9–12 (1993).

    ADS  Google Scholar 

  34. Kaiser, N. Astrophys. J. 284, L9–L12 (1984).

    ADS  Google Scholar 

  35. Rees, M. J. Mon. Not. R. astr. Soc. 213, 75P–81P (1985).

    ADS  CAS  Google Scholar 

  36. Dekel, A. Comments Astrophys. 11, 235–256 (1986).

    ADS  CAS  Google Scholar 

  37. Bardeen, J. M., Bond, J. R., Kaiser, N. & Szalay, A. S. Astrophys. J. 304, 15–61 (1986).

    ADS  CAS  Google Scholar 

  38. Dekel, A. & Rees, M. J. Nature 326, 455–462 (1987).

    ADS  Google Scholar 

  39. Coles, P. Mon. Not. R. astr. Soc. 262, 1065–1075 (1993).

    ADS  Google Scholar 

  40. Babul, A. & White, S. D. M. Mon. Not. R. astr. Soc. 253, 31P–34P (1991).

    ADS  CAS  Google Scholar 

  41. Bower, R. G., Coles, P., Frenk, C. S. & White, S. D. M. Astrophys. J. 405, 403–412 (1993).

    ADS  Google Scholar 

  42. Maddox, S. J., Efstathiou, G., Sutherland, W. J. & Loveday, J. A. Mon. Not. R. astr. Soc. 242, 43P–47P (1990).

    ADS  Google Scholar 

  43. Collins, C. A., Nichol, R. C. & Lumsden, S. L. Mon. Not. R. astr. Soc. 254, 295–300 (1992).

    ADS  Google Scholar 

  44. Efstathiou, G., Sutherland, W. J. & Maddox, S. J. Nature 348, 705–707 (1990).

    ADS  Google Scholar 

  45. Efstathiou, G. et al. Mon. Not. R. astr. Soc. 247, 10P–14P (1990).

    ADS  Google Scholar 

  46. Saunders, W. et al. Nature 349, 32–38 (1991).

    ADS  Google Scholar 

  47. Peacock, J. A. Mon. Not. R. astr. Soc. 253, 1P–4P (1991).

    ADS  Google Scholar 

  48. Peacock, J. A. & Dodds, S. J. Mon. Not. R. astr. Soc. 267, 1020–1034 (1994).

    ADS  Google Scholar 

  49. Davis, M. & Peebles, P. J. E. Astrophys. J. 267, 465–482 (1983).

    ADS  Google Scholar 

  50. Bean, A. J., Efstathiou, G., Ellis, R. S., Peterson, B. A. & Shanks, T. Mon. Not. R. astr. Soc. 205, 605–624 (1983).

    ADS  CAS  Google Scholar 

  51. Peebles, P. J. E. Science 224, 1385–1391 (1984).

    ADS  CAS  PubMed  Google Scholar 

  52. Hale-Sutton, D., Fong, R., Metcalfe, N. & Shanks, T. Mon. Not. R. astr. Soc. 237, 569–587 (1989).

    ADS  Google Scholar 

  53. Tully, R. B. Astrophys. J. 321, 280–304 (1987).

    ADS  Google Scholar 

  54. Fisher, K. B., Davis, M., Strauss, M. A., Yahil, A. & Huchra, J. P. Mon. Not. R. astr. Soc. 267, 927–948 (1994).

    ADS  Google Scholar 

  55. Jones, C. & Forman, W. Astrophys. J. 276, 38–55 (1984).

    ADS  Google Scholar 

  56. Richstone, D. O. & Tremaine, S. Astr. J. 92, 72–74 (1986).

    ADS  CAS  Google Scholar 

  57. Persic, M. & Salucci, P. Mon. Not. R. astr. Soc. 234, 131–154 (1988).

    ADS  Google Scholar 

  58. Persic, M. & Salucci, P. Mon. Not. R. astr. Soc. 245, 577–581 (1990).

    ADS  Google Scholar 

  59. Burstein, D, Rep. Prog. Phys. 53, 421–481 (1990).

    ADS  Google Scholar 

  60. Bertschinger, E. & Dekel, A. Astrophys. J. 336, L5–L8 (1989).

    ADS  Google Scholar 

  61. Dekel, A., Bertschinger, E. & Faber, S. M. Astrophys. J. 364, 349–369 (1990).

    ADS  Google Scholar 

  62. Dekel, A. et al. Astrophys. J. 412, 1–21 (1993).

    ADS  Google Scholar 

  63. Bertschinger, D., Dekel, A., Faber, S. M. & Burstein, D. Astrophys. J. 364, 370–395 (1990).

    ADS  Google Scholar 

  64. Silk, J. Astrophys. J. 345, L1–L4 (1989).

    ADS  Google Scholar 

  65. Guzman, R. & Lucey, J. R. Mon. Not. R. astr. Soc. 263, L47–L50 (1993).

    ADS  Google Scholar 

  66. Lubin, P. M., Epstein, G. L. & Smoot, G. F. Phys. Rev. Lett. 50, 616–619 (1983).

    ADS  CAS  Google Scholar 

  67. Strauss, M. & Davis, M. in Proceedings of Vatican Study Week on Large-scale Motions in the Universe (eds Rubin, V. C. & Coyne, G.) 256–277 (Princeton Univ. Press, USA, 1988).

    Google Scholar 

  68. Rowan Robinson, M. et al. Mon. Not. R. astr. Soc. 247, 1–18 (1990).

    ADS  Google Scholar 

  69. Scaramella, R., Vettolani, G. & Zamorani, G. Astrophys. J. 376, L1–L4 (1991).

    ADS  Google Scholar 

  70. Plionis, M. & Valdarnini, R. Mon. Not. R. astr. Soc. 249, 46–61 (1991).

    ADS  Google Scholar 

  71. Plionis, M., Coles, P. & Catelan, P. Mon. Not. R. astr. Soc. 262, 465–474 (1993).

    ADS  Google Scholar 

  72. Hudson, M. J. Mon. Not. R. astr. Soc. 265, 72–80 (1993).

    ADS  Google Scholar 

  73. Lauer, T. R. & Postman, M. Astrophys. J. 425, 418–438 (1994).

    ADS  Google Scholar 

  74. Kaiser, N. Mon. Not. R. astr. Soc. 227, 1–21 (1987).

    ADS  Google Scholar 

  75. Hogan, C. J., Kaiser, N. & Rees, M. J. Phil. Trans. R. Soc. A307, 97–109 (1982).

    ADS  CAS  Google Scholar 

  76. Kaiser, N. & Silk, J. Nature 324, 529–537 (1987).

    ADS  Google Scholar 

  77. Smoot, G. F. et al. Astrophys. J. 396, L1–L5 (1992).

    ADS  Google Scholar 

  78. Hancock, S. et al. Nature 367, 333–338 (1994).

    ADS  Google Scholar 

  79. Wright, E. L. et al. Astrophys. J. 396, L13–L18 (1992).

    ADS  Google Scholar 

  80. Stoeger, W. R., Ellis, G. F. R. & Xu, C. Phys. Rev. D49, 1845–1853 (1994).

    ADS  CAS  Google Scholar 

  81. Ellis, G. F. R. & Tavakol, R. Class. Qu. Grav. 11, 675–688 (1994).

    ADS  Google Scholar 

  82. Traschen, J. E. & Eardley, D. M. Phys. Rev. D34, 1665–1679 (1986).

    ADS  CAS  Google Scholar 

  83. Holtzman, J. Astrophys. J. Suppl. Ser. 71, 1–24 (1989).

    ADS  CAS  Google Scholar 

  84. Gouda, N., Sugiyama, N. & Sasaki, M. Astrophys. J. 372, L49–L52 (1991).

    ADS  CAS  Google Scholar 

  85. Wilson, M. L. Astrophys. J. 273, 2–15 (1983).

    ADS  Google Scholar 

  86. Kamionski, M. & Spergel, D. N. Astrophys. J. (in the press).

  87. Peebles, P. J. E., Schramm, D. N., Turner, E. L. & Kron, R. G. Nature 352, 769–776 (1991).

    ADS  Google Scholar 

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Authors and Affiliations

  1. the Astronomy Unit, School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London, El 4NS, UK

    Peter Coles

  2. the Department of Applied Mathematics, University of Cape Town, 7700, Rondebosch, Republic of South Africa

    George Ellis

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  1. Peter Coles
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  2. George Ellis
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Coles, P., Ellis, G. The case for an open Universe. Nature 370, 609–615 (1994). https://doi.org/10.1038/370609a0

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