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Cosmological branes and macroscopic extra dimensions


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The idea of adding extra dimensions to the physical world-thus making the observable universe a timelike surface (or brane) embedded in a higher-dimensional space-time — is briefly reviewed, which is believed to hold serious promise for solving fundamental problems concerning the hierarchy of physical interactions and the cosmological constant. Brane localization of massless gravitons is discussed as a mechanism leading to the effective four-dimensional Einstein gravity theory on the brane in the low-energy limit. It is shown that this mechanism is a corollary of the AdS/CFT correspondence principle wellknown from string theory. Inflation and other cosmological evolution scenarios induced by the local and nonlocal structures of the effective action of the gravitational brane are considered, as are the effects that enable the developing gravitational-wave astronomy to be used in the search for extra dimensions. Finally, a new approach to the cosmological constant and cosmological acceleration problems is discussed, which involves variable local and nonlocal gravitational ’constants’ arising in the infrared modifications of the Einstein theory that incorporate brane-induced gravity models and models of massive gravitons.

Fulltext pdf (438 KB)
Fulltext is also available at DOI: 10.1070/PU2005v048n06ABEH002618
PACS: 04.50.+h, 11.25.−w, 98.80.Cq (all)
DOI: 10.1070/PU2005v048n06ABEH002618
URL: https://ufn.ru/en/articles/2005/6/a/
000232636600001
2005PhyU...48..545B
Citation: Barvinskii A O "Cosmological branes and macroscopic extra dimensions" Phys. Usp. 48 545–575 (2005)
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Оригинал: Барвинский А О «Космологические браны и макроскопические дополнительные измерения» УФН 175 569–601 (2005); DOI: 10.3367/UFNr.0175.200506a.0569

References (86) ↓ Cited by (16)

  1. Nordström G Phys. Z. 15 504 (1914)
  2. Kaluza T Sitzungsber. Preuss. Akad. Wiss. Berlin, Math.-Phys. Kl. 33 966 (1921)
  3. Riess A G et al. Astron. J. 116 1009 (1998); Perlmutter S et al. Astrophys. J. 517 565 (1999)
  4. Tonry J L et al. Astrophys. J. 594 1 (2003); Knop R A et al. Astrophys. J. 598 102 (2003); Knop R A et al. astro-ph/0309368; Riess A G et al. Astrophys. J. 607 665 (2004); Riess A G et al. astro-ph/0402512
  5. Jaffe A H et al. Phys. Rev. Lett. 86 3475 (2001); Lange A E et al. Phys. Rev. D 63 042001 (2001); Balbi A et al. Astrophys. J. 545 L1 (2000); Spergel D N et al. Astrophys. J. Suppl. 148 175 (2003); Spergel D N et al. astro-ph/0302209
  6. Rubakov V A Usp. Fiz. Nauk 171 913 (2001); Rubakov V A Phys. Usp. 44 871 (2001); Rubakov V A hep-ph/0104152
  7. Rubakov V A, Shaposhnikov M E Phys. Lett. B 125 136 (1983)
  8. Akama K Lecture Notes In Physics 176 267 (1983); Akama K hep-th/0001113
  9. Arkani-Hamed N, Dimopoulos S, Dvali G Phys. Lett. B 429 263 (1998); Arkani-Hamed N, Dimopoulos S, Dvali G hep-ph/9803315; Antoniadis I et al. Phys. Lett. B 429 263 (1998); Antoniadis I et al. hep-ph/9804398
  10. Hoyle C D et al. Phys. Rev. Lett. 86 1418 (2001); Hoyle C D et al. hep-ph/0011014
  11. Randall L, Sundrum R Phys. Rev. Lett. 83 3370 (1999); Randall L, Sundrum R hep-ph/9905221
  12. Randall L, Sundrum R Phys. Rev. Lett. 83 4690 (1999); Randall L, Sundrum R hep-th/9906064
  13. Gibbons G W, Hawking S W Phys. Rev. D 15 2752 (1977)
  14. Israel W Nuovo Cimento B 44 (S10) 1 (1966)
  15. Lykken J, Randall L J. High Energy Phys. (JHEP06) 014 (2000); Lykken J, Randall L hep-th/9908076
  16. Hořava P, Witten E Nucl. Phys. B 460 506 (1996)
  17. Garriga J, Tanaka T Phys. Rev. Lett. 84 2778 (2000); Garriga J, Tanaka T hep-th/9911055
  18. Giddings S B, Katz E, Randall L J. High Energy Phys. (JHEP03) 023 (2000); Giddings S B, Katz E, Randall L hep-th/0002091
  19. Charmousis C, Gregory R, Rubakov V A Phys. Rev. D 62 067505 (2000); Charmousis C, Gregory R, Rubakov V A hep-th/9912160
  20. Barvinsky A O et al. Phys. Rev. D 67 023513 (2003); Barvinsky A O et al. hep-th/0206188
  21. Maldacena J Adv. Theor. Math. Phys. 2 231 (1998); Gubser S S, Klebanov I R, Polyakov A M Phys. Lett. B 428 105 (1998)
  22. Gubser S S Phys. Rev. D 63 084017 (2001); Gubser S S hep-th/9912001
  23. Hawking S W, Hertog T, Reall H S Phys. Rev. D 62 043501 (2000); Hawking S W, Hertog T, Reall H S hep-th/0003052
  24. Hawking S W, Hertog T, Reall H S Phys. Rev. D 63 083504 (2001); Hawking S W, Hertog T, Reall H S hep-th/0010232
  25. Fefferman C, Graham C R "Conformal invariants" In Élie Cartan Et Les Mathématiques D’aujourd’hui (Astérisque, Numéro Hors Série) (Paris: Société Mathématique de France, 1985) p. 95
  26. Henningson M, Skenderis K J. High Energy Phys. (JHEP07) 023 (1998); Henningson M, Skenderis K hep-th/9806087
  27. de Haro S, Skenderis K, Solodukhin S N Commun. Math. Phys. 217 595 (2001); de Haro S, Skenderis K, Solodukhin S N hep-th/0002230
  28. Duff M J, Liu J T Phys. Rev. Lett. 85 2052 (2000); Duff M J, Liu J T hep-th/0003237
  29. Lee S et al. Adv. Theor. Math. Phys. 2 697 (1998); Lee S et al. hep-th/9806074; Aharony O et al. Phys. Rep. 323 183 (2000); Aharony O et al. hep-th/9905111
  30. Metsaev R R Nucl. Phys. B 625 70 (2002); Metsaev R R hep-th/0112044
  31. Minahan J A, Zarembo K J. High Energy Phys. (JHEP03) 013 (2003); Minahan J A, Zarembo K hep-th/0212208; Kazakov V A et al. J. High Energy Phys. (JHEP05) 024 (2004); Kazakov V A et al. hep-th/0402207
  32. Barvinsky A O, Nesterov D V Nucl. Phys. B 654 225 (2003); Barvinsky A O, Nesterov D V hep-th/0210005
  33. Barvinsky A O Phys. Rev. D 65 062003 (2002); Barvinsky A O hep-th/0107244
  34. Cline J M, Firouzjahi H Phys. Lett. B 514 205 (2001); Cline J M, Firouzjahi H hep-ph/0012090
  35. Dvali G, Tye S-HH Phys. Lett. B 450 72 (1999); Dvali G, Tye S-HH hep-ph/9812483
  36. Kaloper N Phys. Rev. D 60 123506 (1999); Kaloper N hep-th/9905210
  37. Kaloper N, Linde A Phys. Rev. D 59 101303 (1999); Kaloper N, Linde A hep-th/9811141
  38. Barvinsky A O, Nesterov D V Nucl. Phys. B 608 333 (2001); Barvinsky A O, Nesterov D V gr-qc/0008062
  39. Felder G et al. Phys. Rev. D 66 023507 (2002)
  40. Barvinsky A O et al. Phys. Lett. B 571 229 (2003); Barvinsky A O et al. hep-th/0212015; Barvinsky A O et al. Ann. Physik 12 343 (2003); Barvinsky A O et al. hep-th/0212015
  41. Lukas A, Ovrut B A, Waldram D Phys. Rev. D 57 7529 (1998)
  42. Vilenkin A, Shellard E P S Cosmic Strings And Other Topological Defects (Cambridge: Cambridge Univ. Press, 1994)
  43. Barvinsky A O, Solodukhin S N Nucl. Phys. B 675 159 (2003); Barvinsky A O, Solodukhin S N hep-th/0307011
  44. Barish B "LIGO overview" NSF Annual Reviews, LIGO-G020481-00-M, 23 Oct. (Cambridge, MA, 2002); http://www.ligo.caltech.edu/LIGO_web/conferences/nsf_reviews.html
  45. Hughes S A Ann. Physics 303 142 (2003); Hughes S A astro-ph/0210481
  46. Weinberg S Rev. Mod. Phys. 61 1 (1989)
  47. Arkani-Hamed N et al. hep-th/0209227
  48. Parikh M K, Solodukhin S N Phys. Lett. B 503 384 (2001); Parikh M K, Solodukhin S N hep-th/0012231
  49. Ratra B, Peebles P J E Phys. Rev. D 37 3406 (1988); Caldwell R R et al. Phys. Rev. Lett. 80 1582 (1998)
  50. Dvali G R, Gabadadze G, Porrati M Phys. Lett. B 485 208 (2000); Dvali G R, Gabadadze G, Porrati M hep-th/0005016
  51. Shiromizu T, Maeda K, Sasaki M Phys. Rev. D 62 024012 (2000); Shiromizu T, Maeda K, Sasaki M gr-qc/9910076
  52. Binétruy P et al. Phys. Lett. B 477 285 (2000); Binétruy P et al. hep-th/9910219
  53. Kraus P J. High Energy Phys. (JHEP12) 011 (1999); Kraus P hep-th/9910149; Ida D J. High Energy Phys. (JHEP09) 014 (2000); Ida D gr-qc/9912002
  54. Langlois D, Sorbo L, Rodríguez-Martínez M Phys. Rev. Lett. 89 171301 (2002); Langlois D, Sorbo L, Rodríguez-Martínez M hep-th/0206146; Langlois D, Sorbo L Phys. Rev. D 68 084006 (2003); Langlois D, Sorbo L hep-th/0306281
  55. Langlois D Prog. Theor. Phys. Suppl. 148 181 (2003); Langlois D hep-th/0209261
  56. Deffayet C Phys. Lett. B 502 199 (2001); Deffayet C hep-th/0010186
  57. Deffayet C, Dvali G, Gabadadze G Phys. Rev. D 65 044023 (2002); Deffayet C, Dvali G, Gabadadze G astro-ph/0105068
  58. Luty M A, Porrati M, Rattazzi R J. High Energy Phys. (JHEP09) 029 (2003); Luty M A, Porrati M, Rattazzi R hep-th/0303116
  59. Rubakov V A hep-th/0303125
  60. Barvinsky A O Phys. Lett. B 572 109 (2003)
  61. Barvinsky A O, Vilkovisky G A Nucl. Phys. B 282 163 (1987); Barvinsky A O, Vilkovisky G A Nucl. Phys. B 333 471 (1990); Barvinsky A O et al. J. Math. Phys. 35 3525 (1994); Barvinsky A O et al. J. Math. Phys. 35 3543 (1994)
  62. van Dam H, Veltman M Nucl. Phys. B 22 397 (1970); Zakharov V I Pis’ma ZhETF 12 447 (1970); Vainshtein A I Phys. Lett. B 39 393 (1972)
  63. Barvinsky A O et al. Phys. Rev. D 68 105003 (2003); Barvinsky A O et al. hep-th/0306052
  64. Gorbar E V, Shapiro I L J. High Energy Phys. (JHEP02) 021 (2003)
  65. Gregory R, Rubakov V A, Sibiryakov S M Phys. Rev. Lett. 84 5928 (2000); Gregory R, Rubakov V A, Sibiryakov S M hep-th/0002072
  66. Pilo L, Rattazzi R, Zaffaroni A J. High Energy Phys. (JHEP07) 056 (2000); Pilo L, Rattazzi R, Zaffaroni A hep-th/0004028
  67. Dubovsky S L, Rubakov V A Phys. Rev. D 67 104014 (2003); Dubovsky S L, Rubakov V A hep-th/0212222
  68. Dubovsky S L, Libanov M V J. High Energy Phys. (JHEP11) 038 (2003); Dubovsky S L, Libanov M V hep-th/0309131
  69. Arkani-Hamed N, Georgi H, Schwartz M D Ann. Physics 305 96 (2003); Arkani-Hamed N, Georgi H, Schwartz M D hep-th/0210184
  70. Vainshtein A I Phys. Lett. B 39 393 (1972); Deffayet C et al. Phys. Rev. D 65 044026 (2002); Deffayet C et al. hep-th/0106001
  71. Aubert A Phys. Rev. D 69 087502 (2004); Aubert A hep-th/0312246
  72. Tanaka T Phys. Rev. D 69 024001 (2004); Tanaka T gr-qc/0305031
  73. Higuchi A Nucl. Phys. B 282 397 (1987); Higuchi A Nucl. Phys. B 325 745 (1989)
  74. Porrati M Phys. Lett. B 498 92 (2001); Porrati M hep-th/0011152
  75. Nicolis A, Rattazzi R J. High Energy Phys. (JHEP06) 059 (2004); Nicolis A, Rattazzi R hep-th/0404159
  76. Dvali G, Gabadadze G Phys. Rev. D 63 065007 (2001); Dvali G, Gabadadze G hep-th/0008054
  77. Antoniadis I, Minasian R, Vanhove P Nucl. Phys. B 648 69 (2003); Antoniadis I, Minasian R, Vanhove P hep-th/0209030
  78. Dvali G, Gabadadze G, Shifman M Phys. Rev. D 67 044020 (2003); Dvali G, Gabadadze G, Shifman M hep-th/0202174
  79. Kiritsis E, Tetradis N, Tomaras T N J. High Energy Phys. (JHEP08) 012 (2001); Kiritsis E, Tetradis N, Tomaras T N hep-th/0106050; Dvali G et al. Phys. Rev. D 67 044019 (2003); Dvali G et al. hep-th/0111266
  80. Kolanovic M, Porrati M, Rombouts J-W Phys. Rev. D 68 064018 (2003)
  81. Porrati M, Rombouts J-W Phys. Rev. D 69 122003 (2004); Porrati M, Rombouts J-W hep-th/0401211
  82. Gabadadze G, Shifman M Phys. Rev. D 69 124032 (2004); Gabadadze G, Shifman M hep-th/0312289
  83. Lee T D, Wick G C Nucl. Phys. B 9 209 (1969)
  84. Rubakov V hep-th/0407104
  85. Arkani-Hamed N et al. J. High Energy Phys. (JHEP05) 074 (2004); Arkani-Hamed N et al. hep-th/0312099
  86. Arkani-Hamed N et al. hep-ph/0407034

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