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The topology of the universe: the biggest manifold of them all

Levin, Janna, Scannapieco, Evan, Silk, Joseph·1998·Classical and Quantum Gravity
DOI 10.1088/0264-9381/15/9/015
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  • In all known cases, the probability of creation of a low energy density inflationary universe is exponentially suppressed.

    “In our opinion, however, the last 20 years of the debates on the probability of quantum creation a closed universe or an infinite open universe [15,16,17,19,21] demonstrated that in all known cases the probability of creation of a low energy density inflationary universe is exponentially suppressed.”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [19]

    Section III (page unavailable) asks whether quantum creation favors compact hyperbolic universes but gives no probability for creating a low-energy-density inflationary universe. A further search for exponential suppression and quantum creation found no passage addressing that claim; the paper's discussion of inflation concerns observable topology instead. (LLM, conf=0.73)

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  • Both known ways to create an infinite homogeneous open universe involve tunneling and exponential suppression of the probability of creation of an inflationary universe with V << 1.

    “Both cases involve tunneling and exponential suppression of the probability of creation of an inflationary universe with V ≪ 1 [19].”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [19]

    The discussion of compact hyperbolic universes (section III; page unavailable) raises the question of how quantum cosmology might assess their creation, but does not describe two ways to create an infinite homogeneous open universe. Searches for tunneling, exponential suppression, and the inflationary potential V found no passage addressing those claims. (LLM, conf=0.76)

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  • If inflation can occur only at an energy density V much smaller than the Planck density, then the probability of quantum creation of a closed or infinitely large open inflationary universe is exponentially suppressed for all known choices of the wave function of the universe.

    “If inflation can occur only at the energy density V much smaller than the Planck density, which is the case for many inflationary models based on string theory, then the probability of quantum creation of a closed or an infinitely large open inflationary universe is exponentially suppressed for all known choices of the wave function of the universe.”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [19]

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Citations

Cites

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Research works printed but not linked: 26

  1. 10.1016/0370-1573(94)00085-H · DOI · Paper page
  2. Thurston W P, 1982, Bull. Am. Math. Soc., 6, 357, 10.1090/S0273-0979-1982-15003-0 · DOI
  3. Thurston W P, 1984, Sci. Am.
  4. 10.1103/PhysRevLett.77.215 · DOI · Paper page
  5. 10.1103/PhysRevD.57.5982 · DOI
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  7. Sokolov D D, 1975, Sov. Phys. - JETP, 39, 196
  8. Paal G, 1971, Acta. Phys. Acad. Sci. Hung., 30, 51, 10.1007/BF03157173 · DOI · Paper page
  9. Gott J R, 1980, Mon. Not. R. Astron. Soc., 193, 153, 10.1093/mnras/193.1.153 · DOI
  10. Roukema B F, 1998, Class. Quantum Grav., 15, 2645, 10.1088/0264-9381/15/9/012 · DOI
  11. 10.1103/PhysRevLett.79.974 · DOI
  12. Sokolov I Yu, 1993, JETP Lett., 57, 617
  13. de Oliveira-Costa A, 1995, Astrophys. J., 448, 447, 10.1086/175977 · DOI
  14. 10.1103/PhysRevLett.71.20 · DOI
  15. Starobinsky A A, 1993, JETP Lett., 57, 622
  16. 10.1086/177706 · DOI
  17. Sokolov D D, 1976, Sov. Astron., 19, 629
  18. Cornish N J, 1998, Class. Quantum Grav., 15, 2657, 10.1088/0264-9381/15/9/013 · DOI
  19. Weeks J, 1998, Class. Quantum Grav., 15, 2599, 10.1088/0264-9381/15/9/007 · DOI
  20. Bianchi L, 1897, Mem. Soc. It. Sci., Dei XL, 11, 267
  21. Kantowski R, 1966, J. Math. Phys., 7, 443, 10.1063/1.1704952 · DOI · Paper page
  22. Barrow J D, 1985, Nature, 316, 48, 10.1038/316048a0 · DOI
  23. Barrow J D, 1985, Mon. Not. R. Astron. Soc., 213, 917, 10.1093/mnras/213.4.917 · DOI
  24. 10.1016/S0375-9601(97)00504-5 · DOI
  25. 10.1103/PhysRevD.25.921 · DOI · Paper page
  26. Gurzdyan V G, 1992, Astron. Astrophys., 260

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Metadata

Authors
Levin, J., Scannapieco, E., & Silk, J.
Venue
Classical and Quantum Gravity
Publisher
IOP Publishing
Published
1998-09-01
Volume
15
Issue
9
Pages
2689-2697
ISSN
  • 0264-9381
  • 1361-6382
DOI
10.1088/0264-9381/15/9/015
Cited by
35
References
0

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