Cited by 149

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Topology and the cosmic microwave background

Levin, Janna·2002·Physics Reports

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/s0370-1573(02)00018-2

Cites

5 of 5 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • In the open universe case, the effective energy associated with curvature decreases as a^-2, becomes dominant soon after expansion, making the relative role of normal matter and its density perturbations insignificant; this is an additional reason density perturbations in a compact hyperbolic universe will rapidly decrease.

    “Moreover, the effective energy associated with the curvature of 3D space in the open universe case decreases as a -2 , i.e. much more slowly than the energy of ordinary matter.Soon after the beginning of expansion, the curvature energy density becomes dominant, and the relative role of normal matter and of its density perturbations become insignificant.This is an additional reason to expect that”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 154

  1. Adams, 1997, Rev. Mod. Phys., 69, 337, 10.1103/RevModPhys.69.337 · DOI
  2. Krauss, 2000, Astrophys. J., 521, 22, 10.1086/308434 · DOI
  3. Lachieze-Rey, 1995, Phys. Rep., 254, 136, 10.1016/0370-1573(94)00085-H · DOI · Paper page
  4. Cornish, 1998, Class. Quant. Grav., 15, 2657, 10.1088/0264-9381/15/9/013 · DOI
  5. N.J. Cornish, D.N. Spergel, G.D. Starkman, gr-qc/9602039. · arXiv
  6. Cornish, 1998, Phys. Rev. D, 57, 5982, 10.1103/PhysRevD.57.5982 · DOI
  7. Levin, 1998, Class. Quant. Grav., 15, 2689, 10.1088/0264-9381/15/9/015 · DOI · Paper page
  8. Levin, 1998, Phys. Rev. D, 58, 123006, 10.1103/PhysRevD.58.123006 · DOI
  9. I. Heard, J. Levin, Proceedings for Cosmological Topology in Paris (CTP98), astro-ph/9907166. · arXiv
  10. J.R. Bond, D. Pogosyan, T. Souradeep, Phys. Rev. D 62 (2000) article 043005. · DOI
  11. J.R. Bond, D. Pogosyan, T. Souradeep, Phys. Rev. D 62 (2000) article 042006. · DOI
  12. J.-P. Uzan, R. Lehoucq, J.-P. Luminet, in: E. Aubourg, T. Montmerle, J. Paul, P. Peter, (Eds.), Proceedings of the XIXth Texas meeting, Paris 14–18 December 1998, article-no: 04.25.
  13. J.-P. Luminet and B.F. Roukema, Proceedings of Cosmology School held at Cargese, Corsica, August 1998 astro-ph/9901364. · arXiv
  14. B.F. Roukema, Bull. Astr. Soc. India, 28 (2000) 483 (astro-ph/0010185) · arXiv
  15. B.F. Roukema, in: Ruffini et al. (Ed.), Marcel Grossmann IX Conference, 2001 (astro-ph/0010189). · arXiv
  16. Fang, 1983, Comm. Theor. Phys. (China), 2, 1055, 10.1088/0253-6102/2/2/1055 · DOI
  17. Fagundes, 1985, Astrophys. J., 291, 450, 10.1086/163083 · DOI
  18. Fagundes, 1989, Astrophys. J., 338, 618, 10.1086/167223 · DOI
  19. Fagundes, 1987, Astrophys. J. Lett., 322, L5, 10.1086/185026 · DOI
  20. Fagundes, 1993, Phys. Rev. Lett., 70, 1579, 10.1103/PhysRevLett.70.1579 · DOI
  21. Lehoucq, 1996, Astron. Astrophys., 313, 339
  22. Roukema, 1997, Mon. Not. Roy. Astron. Soc., 292, 105, 10.1093/mnras/292.1.105 · DOI
  23. Roukema, 1998, Class. Quantum Grav., 15, 2645, 10.1088/0264-9381/15/9/012 · DOI
  24. Roukema, 1996, MNRAS, 283, 1147, 10.1093/mnras/283.4.1147 · DOI
  25. Roukema, 1999, MNRAS, 308, 309, 10.1046/j.1365-8711.1999.02597.x · DOI
  26. G. Starkman (Ed.), The entire issue of Class. Quant. Grav. 15 (1998) 2589. · DOI
  27. W.P. Thurston, J.R. Weeks, Sci. Am. 251(1) (1984) 108 (July issue). · DOI
  28. J.P. Luminet, G.D. Starkman, J.R. Weeks, Sci. Am. 280(4) (1999) 90 (April issue). · DOI
  29. V. Blanlœil, B.F. Roukema (Eds.), Proceedings of the Cosmological Topology in Paris 1998 meeting, astro-ph/0010170, 2000. · DOI
  30. Ellis, 1975, Quart. J. Rev. Astron. Soc., 16, 245
  31. Ellis, 1971, Gen. Rel. Grav., 2, 7, 10.1007/BF02450512 · DOI
  32. Thurston, 1982, Bull. Am. Math. Soc., 6, 357, 10.1090/S0273-0979-1982-15003-0 · DOI
  33. Bianchi, 1897, Mem. Soc. It. Della. Sc. (Dei. XL), 11, 267
  34. G.D. Mostow, Ann. Math. Studies, Vol. 78, Princeton University Press, Princeton, NJ, 1973.
  35. Prasad, 1973, Invent. Math., 21, 255, 10.1007/BF01418789 · DOI
  36. J.R. Weeks, Ph.D. Thesis, Princeton University, Princeton, NJ, 1985.
  37. Balazs, 1986, Phys. Rep., 143, 109, 10.1016/0370-1573(86)90159-6 · DOI
  38. Francis, 1999, Amer. Math. Monthly, 106, 393, 10.2307/2589143 · DOI
  39. Thurston, 1982, Bull. Am. Math. Soc., 6, 357, 10.1090/S0273-0979-1982-15003-0 · DOI
  40. Scott, 1983, London Math. Soc., 15, 401, 10.1112/blms/15.5.401 · DOI
  41. Gausmann, 2001, J. Weeks, Class. Quant. Grav., 18, 5155, 10.1088/0264-9381/18/23/311 · DOI
  42. Friedmann, 1924, Zeitschrift für Physik, 21, 326, 10.1007/BF01328280 · DOI · Paper page
  43. Löbell, 1931, Ber. d. Sächs. Akad. d. Wiss., 83, 167
  44. Weber, 1933, Math. Zeit., 37, 237, 10.1007/BF01474572 · DOI
  45. Kojima, 1988, Isometry Transformations of Hyperbolic 3-Manifolds, Topol. Appl., 29, 297, 10.1016/0166-8641(88)90027-2 · DOI
  46. Miller, et al. (TOCO experiment), Astrophys. J. 524 (1999) L1. · DOI
  47. P. de Bernardis, et al., Proc. of the CAPP2000 Conference, Verbier, 17–28 July 2000, astro-ph/0011469 · arXiv
  48. J.R. Bond, et al., Astrophys. J. 545 (2000) L5. · DOI
  49. S. Hanany, et al., Phys. Rev. Lett. 86 (2001) 3475. · DOI
  50. A.H. Jaffe, et al. astro-ph/0007333. · arXiv
  51. Linde, 1986, Mod. Phys. Lett. A, 1, 81, 10.1142/S0217732386000129 · DOI · Paper page
  52. Linde, 1986, Phys. Lett., 175B, 395, 10.1016/0370-2693(86)90611-8 · DOI · Paper page
  53. Guth, 2000, Phys. Rep., 333, 555, 10.1016/S0370-1573(00)00037-5 · DOI · Paper page
  54. C. Contaldi, astro-ph/0005115. · arXiv
  55. Sokolov, 1993, JETP Lett., 57, 617
  56. Muller, 2001, Phys. Rev. D, 63, 123508, 10.1103/PhysRevD.63.123508 · DOI
  57. Cornish, 1996, Phys. Rev. Lett., 77, 215, 10.1103/PhysRevLett.77.215 · DOI · Paper page
  58. Starkman, 2001, Phys. Rev. Lett., 87, 231303, 10.1103/PhysRevLett.87.231303 · DOI
  59. Barrow, 2001, Class. Quant. Grav., 18, 1753, 10.1088/0264-9381/18/9/310 · DOI · Paper page
  60. Barrow, 2001, Int. J. Mod. Phys. D, 10, 785, 10.1142/S0218271801001554 · DOI
  61. Mukhanov, 1992, Phys. Rep., 215, 203, 10.1016/0370-1573(92)90044-Z · DOI · Paper page
  62. Liddle, 1993, Phys. Rep., 231, 1, 10.1016/0370-1573(93)90114-S · DOI
  63. White, 1997, Astron. Astrophys., 321, 8
  64. S. Weinberg, Gravitation and Cosmology, Wiley, New York, 1972.
  65. Hwang, 2002, Phys. Rev. D, 65, 043005, 10.1103/PhysRevD.65.043005 · DOI
  66. Levin, 2000, Class. Quantum Grav., 17, L61, 10.1088/0264-9381/17/6/101 · DOI
  67. A. Dekel, D. Burstein, S.D.M. White, in: N. Turok, N. Bahcall, X. Fan (Eds.), Critical Dialogues in Cosmology, World Scientific, Singapore, 1996 (astro-ph/9804082). · arXiv
  68. A. Balbi, et. al., Astrophys. J. 545 (2000) L1. · DOI
  69. Roukema, 2002, Astron. & Astrophys., 382, 397, 10.1051/0004-6361:20011534 · DOI
  70. Bennett, 1992, Astrophys. J., 391, 466, 10.1086/171363 · DOI
  71. Smoot, 1990, Astrophys. J., 360, 685, 10.1086/169154 · DOI
  72. Smoot, 1992, Astrophys. J., 396, L1, 10.1086/186504 · DOI
  73. K. Gorski, in: F.R. Bouchet et. al. (Eds.) Proceedings of the Moriond XVI, Gif-Sur-Yvette: Editions Frontièrs, 1997.
  74. Tegmark, 1997, Phys. Rev. D, 55, 5895, 10.1103/PhysRevD.55.5895 · DOI
  75. J.R. Bond, A. Jaffe, L. Knox, preprint CfPA-97-TH-11.
  76. J.R. Bond, A. Jaffe, in: F.R. Bouchet et. al. (Eds.), Proceedings of the Moriond XVI, Gif-Sur-Yvette: Editions Frontièrs, 1997.
  77. Inoue, 2001, Prog. Theoret. Phys., 106, 39, 10.1143/PTP.106.39 · DOI
  78. Inoue, 2000, Phys. Rev. D, 103001, 1
  79. Bond, 1987, Mon. Not. R. Astron. Soc., 226, 655, 10.1093/mnras/226.3.655 · DOI
  80. Gomero, 2000, Phys. Lett. A, 275, 355, 10.1016/S0375-9601(00)00606-X · DOI
  81. Gomero, 2001, Class. Quant. Grav., 18, 1885, 10.1088/0264-9381/18/10/306 · DOI
  82. Fagundes, 1998, Phys. Lett. A, 238, 235, 10.1016/S0375-9601(97)00917-1 · DOI
  83. J. Levin, E. Scannapieco, J. Silk, Phys. Rev. D 58 (1998) article 103516. · DOI
  84. Scannapieco, 1999, Mon. Not. R. Astron. Soc., 303, 797, 10.1046/j.1365-8711.1999.02279.x · DOI
  85. Stevens, 1993, Phys. Rev. Lett., 71, 20, 10.1103/PhysRevLett.71.20 · DOI
  86. de Oliveira-Costa, 1995, Astrophys. J., 448, 447, 10.1086/175977 · DOI
  87. Buser, 1980, Proc. Symp. Pure Math., 36, 29, 10.1090/pspum/036/573428 · DOI
  88. Starkman, 1998, Quant. Grav., 15, 2529, 10.1088/0264-9381/15/9/002 · DOI
  89. B. Zel'dovich, 1973, Comm. Astrophys. Space Sci., 5, 169
  90. Fang, 1987, Mod. Phys. Lett. A, 2, 229, 10.1142/S0217732387000586 · DOI
  91. de Oliveira Costa, 1996, Astrophys. J., 468, 457, 10.1086/177706 · DOI
  92. Starobinsky, 1993, JETP Lett., 57, 622
  93. Fang, 1993, Mod. Phys. Lett. A, 8, 2615, 10.1142/S0217732393002993 · DOI
  94. Roukema, 2000, Mon. Not. R. Astron. Soc., 312, 712, 10.1046/j.1365-8711.2000.03161.x · DOI
  95. Roukema, 2000, Class. Quant. Grav, 17, 3951, 10.1088/0264-9381/17/19/301 · DOI
  96. Sinai, 1960, Sov. Math. Dok., 1, 335
  97. Aurich, 1989, Physica D, 39, 169, 10.1016/0167-2789(89)90003-1 · DOI
  98. Aurich, 1993, Physica D, 64, 185, 10.1016/0167-2789(93)90255-Y · DOI
  99. Inoue, 2001, Classical and Quantum Gravity, 18, 629, 10.1088/0264-9381/18/4/305 · DOI
  100. Gutzwiller, 1971, J. Math. Phys., 12, 343, 10.1063/1.1665596 · DOI
  101. Lyth, 1995, Phys. Rev. D, 52, 3338, 10.1103/PhysRevD.52.3338 · DOI
  102. Gorski, 1995, Astrophys. J., 444, L65, 10.1086/187861 · DOI
  103. Spergel, 1998, Class. Quant. Grav., 15, 2589, 10.1088/0264-9381/15/9/006 · DOI
  104. Seifert, 1933, Math. Z., 37, 237, 10.1007/BF01474572 · DOI
  105. Sokolov, 1976, Sov. Astron., 19, 629
  106. Levin, 1997, Phys. Rev. Lett., 79, 974, 10.1103/PhysRevLett.79.974 · DOI
  107. Olson, 2001, Class. Quant. Grav., 17, 3093, 10.1088/0264-9381/17/16/301 · DOI
  108. Inoue, 1999, Class. Quantum Grav., 16, 3071, 10.1088/0264-9381/16/10/304 · DOI
  109. Inoue, 2000, Mon. Not. R. Astron. Soc., 314, L21, 10.1046/j.1365-8711.2000.03543.x · DOI
  110. K.T. Inoue, Ph.D. Thesis, astro-ph 0103158.
  111. N.J. Cornish, D.N. Spergel, math.DG/9906017. · arXiv
  112. Cornish, 2000, Phys. Rev. D, 62, 087304, 10.1103/PhysRevD.62.087304 · DOI
  113. Aurich, 1999, Astrophys. J., 524, 497, 10.1086/307848 · DOI
  114. Aurich, 1996, Physica, D 92, 101
  115. Berry, 1977, J. Phys. A, 12, 2083, 10.1088/0305-4470/10/12/016 · DOI
  116. Netterfield, 1997, Astrophys. J., 474, 47, 10.1086/303438 · DOI
  117. de Oliveira-Costa, 1998, Astrophys. J. Lett., 509, L77, 10.1086/311767 · DOI
  118. Aurich, 2001, Mon. Not. R. Astron. Soc., 323, 1016, 10.1046/j.1365-8711.2001.04304.x · DOI
  119. Pen, 1998, Astrophys. J., 498, 60, 10.1086/305514 · DOI
  120. J.R. Bond, D. Pogosyan, T. Souradeep, Proceedings of the XXXIIIrd Recontre de Moriond, Fundamental Parameters in Cosmology, January 17–24, 1998, Les Arc, France.
  121. Bond, 1998, Class. Quant. Grav., 15, 2671, 10.1088/0264-9381/15/9/014 · DOI
  122. P.H. Berard, Spectral Geometry: Direct and Inverse Problems, Lecture Notes in Mathematics, Vol. 1207, Springer, Berlin, 1980.
  123. Fagundes, 1996, Astrophys. J., 470, 43, 10.1086/177847 · DOI
  124. H.V. Fagundes, IX Marcel Grossman Meeting, Rome, 2–8 July, 2000, astro-ph/0007443. · arXiv
  125. Cayón, 1995, Astrophys. J., 452, 494, 10.1086/176321 · DOI
  126. Hodgson, 1994, Exp. Math., 3, 261, 10.1080/10586458.1994.10504296 · DOI
  127. Gomero, 2001, Class. Quant. Grav., 18, 4461, 10.1088/0264-9381/18/21/306 · DOI
  128. Gomero, 2001, Class. Quant. Grav., 18, L145, 10.1088/0264-9381/18/21/101 · DOI
  129. N.J. Cornish, J. Weeks, Notices of the American Mathematical Society, astro-ph/9807311. · arXiv
  130. Roukema, 1997, Mon. Not. R. Astron. Soc., 292, 105, 10.1093/mnras/292.1.105 · DOI
  131. Roukema, 1998, Class. Quant. Grav., 15, 2645, 10.1088/0264-9381/15/9/012 · DOI
  132. Best, 1971, Can. J. Math., 23, 451, 10.4153/CJM-1971-048-9 · DOI
  133. Barrow, 2001, Phys. Rev. A, 63, 044104, 10.1103/PhysRevA.63.044104 · DOI
  134. J.P. Uzan, J.P. Luminet, R. Lehoucq, P. Peter, physics/0006039. · arXiv
  135. Peters, 1983, Am. J. Phys., 51, 791, 10.1119/1.13499 · DOI
  136. Peters, 1986, Am. J. Phys., 54, 334, 10.1119/1.14616 · DOI
  137. J.R. Lucas, P.E. Hodgson, Spacetime and Electromagnetism, Oxford University Press, Oxford, 1990, pp. 76–83.
  138. S. Carlip, Class. Quant. Grav. 15 (1998) 2629, and references therein. · DOI · Paper page
  139. Gibbons, 1996, Nucl. Phys. B, 472, 683, 10.1016/0550-3213(96)00207-6 · DOI
  140. Gibbons, 1998, Class. Quantum Grav., 15, 2605, 10.1088/0264-9381/15/9/008 · DOI
  141. Fagundes, 1999, Gen. Rel. Grav., 31, 863, 10.1023/A:1026686221314 · DOI
  142. e Costa, 2001, Gen. Rel. Grav., 33, 1489, 10.1023/A:1012236709611 · DOI
  143. Randall, 1999, Phys. Rev. Lett., 83, 3370, 10.1103/PhysRevLett.83.3370 · DOI · Paper page
  144. Klein, 1929, Z. Phys., 37, 895, 10.1007/BF01397481 · DOI
  145. Kaloper, 2001, Phys. Rev. Lett., 85, 928, 10.1103/PhysRevLett.85.928 · DOI
  146. Starkman, 2001, Phys. Rev. D, 63, 103511, 10.1103/PhysRevD.63.103511 · DOI
  147. Horowitz, 1998, J. High Energy Phys., 9807, 014, 10.1088/1126-6708/1998/07/014 · DOI
  148. Wigner, 1932, Phys. Rev., 40, 749, 10.1103/PhysRev.40.749 · DOI · Paper page
  149. Heller, 1984, Phys. Rev. Lett., 53, 1515, 10.1103/PhysRevLett.53.1515 · DOI
  150. Ellis, 1994, Class. Quantum Grav., 11, 675, 10.1088/0264-9381/11/3/017 · DOI
  151. Ellis, 1986, Phys. Lett. A, 115, 97, 10.1016/0375-9601(86)90032-0 · DOI · Paper page
  152. D. Hobill et al. (Eds.), Deterministic Chaos in General Relativity, Plenum Press, New York, 1994. · DOI
  153. Richard Gott, 1980, III Mon. Not. R. Astron. Soc., 192, 153, 10.1093/mnras/193.1.153 · DOI
  154. Lockhart, 1982, Phys. Rev. D, 25, 921, 10.1103/PhysRevD.25.921 · DOI · Paper page

Cited by

Sorted by citations

Metadata

Authors
Levin, J.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2002-08
Volume
365
Issue
4
Pages
251-333
ISSN
0370-1573
Cited by
149
References
5
Language
en

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review