General Relativity and Gravitation

, Volume 40, Issue 2–3, pp 421–450 | Cite as

The cosmological constant and dark energy in braneworlds

Research Article
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Abstract

We review recent attempts to address the cosmological constant problem and the late-time acceleration of the Universe based on braneworld models. In braneworld models, the way in which the vacuum energy gravitates in the 4D spacetime is radically different from conventional 4D physics. It is possible that the vacuum energy on a brane does not curve the 4D spacetime and only affects the geometry of the extra-dimensions, offering a solution to the cosmological constant problem. We review the idea of supersymmetric large extra dimensions that could achieve this and also provide a natural candidate for a quintessence field. We also review the attempts to explain the late-time accelerated expansion of the universe from the large-distance modification of gravity based on the braneworld. We use the Dvali–Gabadadze–Porrati model to demonstrate how one can distinguish this model from dark energy models in 4D general relativity. Theoretical difficulties in this approach are also addressed.

Keywords

Dark Energy Extra Dimension Vacuum Energy Dark Energy Model Cosmological Constant Problem 
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References

  1. Weinberg S. (1989). Rev. Mod. Phys. 61: 1 CrossRefADSMathSciNetGoogle Scholar
  2. Schmidt B.P. (1998). [Supernova Search Team Collaboration]. Astrophys. J. 507: 46 CrossRefADSGoogle Scholar
  3. Garnavich, P.M., et al. [Supernova Search Team Collaboration]: Astrophys. J. 509, 74 (1998). [arXiv:astro-ph/9806396]Google Scholar
  4. Perlmutter, S., et al. [Supernova Cosmology Project Collaboration]: Astrophys. J. 517, 565 (1999). [arXiv:astro-ph/9812133]Google Scholar
  5. Garriga, J., Vilenkin, A.: Phys. Rev. D 67, 043503 (2003). [arXiv:astro-ph/0210358]Google Scholar
  6. Susskind, L.: (2003). [arXiv:hep-th/0302219]Google Scholar
  7. Maartens, R.: Living Rev. Rel. 7, 7 (2004). [arXiv:gr-qc/0312059]Google Scholar
  8. Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999). [arXiv:hep-th/9906064]Google Scholar
  9. Dvali, G.R., Gabadadze, G., Porrati, M.: Phys. Lett. B 484, 112 (2000). [arXiv:hep-th/0002190]Google Scholar
  10. Akama K. (1978). Prog. Theor. Phys. 60: 1900 MATHCrossRefADSMathSciNetGoogle Scholar
  11. Akama, K.: Pregeometry. In: Kikkawa, K., Nakanishi, N., Nariai, H. (eds.) Gauge Theory and Gravitation. Proceedings, Nara, 1982. Lecture Notes in Physics, vol. 176, pp. 267–271. Springer, Heidelberg (1983). [hep-th/0001113]Google Scholar
  12. Rubakov V.A. and Shaposhnikov M.E. (1983). Phys. Lett. B 125: 136 CrossRefADSGoogle Scholar
  13. Polchinski J. (1998). String Theory I and II. Cambridge Press, Cambridge Google Scholar
  14. Arkani-Hamed, N., Dimopoulos, S., Dvali, G.: Phys. Lett. B429, 263 (1998). [arXiv:hep-ph/9803315]Google Scholar
  15. Antoniadis, I., Arkani-Hamed, N., Dimopoulos, S., Dvali, G.R.: Phys. Lett. B 436, 257 (1998). [arXiv:hep-ph/9804398]Google Scholar
  16. Arkani-Hamed, N., Dimopoulos, S., Dvali, G.R.: Phys. Rev. D59, 086004 (1999). [arXiv:hep-ph/9807344]Google Scholar
  17. Kapner, D.J., Cook, T.S., Adelberger, E.G., Gundlach, J.H., Heckel, B.R., Hoyle, C.D., Swanson, H.E.: Phys. Rev. Lett. 98, 021101 (2007). [arXiv:hep-ph/0611184]Google Scholar
  18. Garriga, J., Tanaka, T.: Phys. Rev. Lett. 84, 2778 (2000). [arXiv:hep-th/9911055]Google Scholar
  19. Binetruy, P., Deffayet, C., Ellwanger, U., Langlois, D.: Phys. Lett. B 477, 285 (2000). [arXiv:hep-th/ 9910219]Google Scholar
  20. Kraus, P.: JHEP 9912, 011 (1999). [arXiv:hep-th/9910149]Google Scholar
  21. Ida, D.: JHEP 0009, 014 (2000). [arXiv:gr-qc/9912002]Google Scholar
  22. Arkani-Hamed, N., Dimopoulos, S., Kaloper, N., Sundrum, R.: Phys. Lett. B 480, 193 (2000). [arXiv: hep-th/0001197]Google Scholar
  23. Kachru, S., Schulz, M.B., Silverstein, E.: Phys. Rev. D 62, 045021 (2000). [arXiv:hep-th/0001206]Google Scholar
  24. Forste, S., Lalak, Z., Lavignac, S., Nilles, H.P.: Phys. Lett. B 481, 360 (2000). [arXiv:hep-th/0002164]Google Scholar
  25. Forste, S., Lalak, Z., Lavignac, S., Nilles, H.P.: JHEP 0009, 034 (2000). [arXiv:hep-th/0006139]Google Scholar
  26. Csaki, C., Erlich, J., Grojean, C., Hollowood, T.J.: Nucl. Phys. B584, 359–386 (2000). [hep-th/ 0004133]Google Scholar
  27. Binetruy, P., Cline, J.M., Grojean, C.: Phys. Lett. B 489, 403 (2000). [arXiv:hep-th/0007029]Google Scholar
  28. Csaki, C., Erlich, J., Grojean, C.: Nucl. Phys. B604, 312–342 (2001). [arXiv:hep-th/0012143]Google Scholar
  29. Cline, J.M., Firouzjahi, H.: Phys. Rev. D 65, 043501 (2002). [arXiv:hep-th/0107198]Google Scholar
  30. Carroll, S.M., Guica, M.M.: (2003). [arXiv:hep-th/0302067]Google Scholar
  31. Garriga, J., Porrati, M.: JHEP 0408, 028 (2004). [arXiv:hep-th/0406158]Google Scholar
  32. Vinet, J., Cline, J.M.: Phys. Rev. D 70, 083514 (2004). [arXiv:hep-th/0406141]Google Scholar
  33. Burgess, C.P.: Annals Phys. 313, 283 (2004). [arXiv:hep-th/0402200]Google Scholar
  34. Burgess, C.P.: AIP Conf. Proc. 743, 417 (2005). [arXiv:hep-th/0411140]Google Scholar
  35. Aghababaie, Y., Burgess, C.P., Parameswaran, S.L., Quevedo, F.: Nucl. Phys. B 680, 389 (2004). [arXiv:hep-th/0304256]Google Scholar
  36. Vinet, J., Cline, J.M.: Phys. Rev. D 71, 064011 (2005). [arXiv:hep-th/0501098]Google Scholar
  37. Gibbons, G.W., Guven, R., Pope, C.N.: Phys. Lett. B 595, 498 (2004). [arXiv:hep-th/0307238]Google Scholar
  38. Aghababaie, Y., et al.: JHEP 0309, 037 (2003). [arXiv:hep-th/0308064]Google Scholar
  39. Burgess, C.P., de Rham, C., Hoover, D., Mason, D., Tolley, A.J.: JCAP 0702, 009 (2007). [arXiv:hep-th/ 0610078]Google Scholar
  40. Burgess, C.P., Hoover, D., Tasinato, G.: (2007). arXiv:0705.3212 [hep-th]Google Scholar
  41. Kobayashi, T., Minamitsuji, M.: (2007). arXiv:0705.3500 [hep-th]Google Scholar
  42. Copeland, E.J., Seto, O.: (2007). arXiv:0705.4169 [hep-th]Google Scholar
  43. Deffayet, C.: Phys. Lett. B 502, 199 (2001). [arXiv:hep-th/0010186]Google Scholar
  44. Deffayet, C., Dvali, G.R., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002a). [arXiv:astro-ph/0105068]Google Scholar
  45. Deffayet, C., Dvali, G.R., Gabadadze, G., Vainshtein, A.I.: Phys. Rev. D 65, 044026 (2002b). [arXiv: hep-th/0106001]Google Scholar
  46. Lue, A.: Phys. Rev. D 66, 043509 (2002). [arXiv:hep-th/0111168]Google Scholar
  47. Gruzinov, A.: New Astron. 10, 311 (2005). [arXiv:astro-ph/0112246]Google Scholar
  48. Tanaka, T.: Phys. Rev. D 69, 024001 (2004). [arXiv:gr-qc/0305031]Google Scholar
  49. Lue, A.: Phys. Rept. 423, 1 (2006). [arXiv:astro-ph/0510068]Google Scholar
  50. Deffayet, C., Landau, S.J., Raux, J., Zaldarriaga, M., Astier, P.: Phys. Rev. D 66, 024019 (2002). [arXiv:astro-ph/0201164]Google Scholar
  51. Fairbairn, M., Goobar, A.: Phys. Lett. B 642, 432 (2006). [arXiv:astro-ph/0511029]Google Scholar
  52. Maartens, R., Majerotto, E.: Phys. Rev. D 74, 023004 (2006). [arXiv:astro-ph/0603353]Google Scholar
  53. Song, Y.S., Sawicki, I., Hu, W.: Phys. Rev. D 75, 064003 (2007). [arXiv:astro-ph/0606286]Google Scholar
  54. Barger, V., Gao, Y., Marfatia, D.: Phys. Lett. B 648, 127 (2007). [arXiv:astro-ph/0611775]Google Scholar
  55. Rydbeck, S., Fairbairn, M., Goobar, A.: (2007). [arXiv:astro-ph/0701495]Google Scholar
  56. Lazkoz, R., Majerotto, E.: (2007). arXiv:0704.2606 [astro-ph]Google Scholar
  57. Yamamoto, K., Bassett, B.A., Nichol, R.C., Suto, Y.: Phys. Rev. D 74, 063525 (2006). [arXiv:astro-ph/ 0605278]Google Scholar
  58. Lue, A., Scoccimarro, R., Starkman, G.D.: Phys. Rev. D 69, 124015 (2004). [arXiv:astro-ph/0401515]Google Scholar
  59. Linder, E.V.: Phys. Rev. D 72, 043529 (2005). [arXiv:astro-ph/0507263]Google Scholar
  60. Koyama, K., Maartens, R.: JCAP 0601, 016 (2006). [arXiv:astro-ph/0511634]Google Scholar
  61. Song, Y.S.: Phys. Rev. D 71, 024026 (2005). [arXiv:astro-ph/0407489]Google Scholar
  62. Munshi, D., Valageas, P., Van Waerbeke, L., Heavens, A.: (2006). [arXiv:astro-ph/0612667]Google Scholar
  63. Sawicki, I., Song, Y.S., Hu, W.: Phys. Rev. D 75, 064002 (2007). [arXiv:astro-ph/0606285]Google Scholar
  64. Crittenden, R.G., Turok, N.: Phys. Rev. Lett. 76, 575 (1996). [arXiv:astro-ph/9510072]Google Scholar
  65. Boughn, S., Crittenden, R.: Nature 427, 45 (2004). [arXiv:astro-ph/0305001]Google Scholar
  66. Pogosian, L., Corasaniti, P.S., Stephan-Otto, C., Crittenden, R., Nichol, R.: Phys. Rev. D 72, 103519 (2005). [arXiv:astro-ph/0506396]Google Scholar
  67. Lue, A., Scoccimarro, R., Starkman, G.: Phys. Rev. D 69, 044005 (2004). [arXiv:astro-ph/0307034]Google Scholar
  68. Ishak, M., Upadhye, A., Spergel, D.N.: Phys. Rev. D 74, 043513 (2006). [arXiv:astro-ph/0507184]Google Scholar
  69. Koyama, K.: JCAP 0603, 017 (2006). [arXiv:astro-ph/0601220]Google Scholar
  70. Zhang, P., Bean, R., Dodelson, S.: (2007). arXiv:0704.1932 [astro-ph]Google Scholar
  71. Linder, E.V., Cahn, R.N.: (2007). [arXiv:astro-ph/0701317]Google Scholar
  72. Heavens, A.F., Kitching, T.D., Verde, L.: (2007). [arXiv:astro-ph/0703191]Google Scholar
  73. Yamamoto, K., Parkinson, D., Hamana, T., Nichol, R.C., Suto, Y.: (2007). arXiv:0704.2949 [astro-ph]Google Scholar
  74. Amendola, L., Kunz, M., Sapone, D.: (2007). arXiv:0704.2421 [astro-ph]Google Scholar
  75. Koyama, K., Silva, F.P.: Phys. Rev. D 75, 084040 (2007). [arXiv:hep-th/0702169]Google Scholar
  76. Luty, M.A., Porrati, M., Rattazzi, R.: JHEP 0309, 029 (2003). [arXiv:hep-th/0303116]Google Scholar
  77. Nicolis, A., Rattazzi, R.: JHEP 0406, 059 (2004). [arXiv:hep-th/0404159]Google Scholar
  78. Rubakov, V.A.: (2003). [arXiv:hep-th/0303125]Google Scholar
  79. Dvali, G.: (2004). [arXiv:hep-th/0402130]Google Scholar
  80. Koyama, K.: Phys. Rev. D 72, 123511 (2005). [arXiv:hep-th/0503191]Google Scholar
  81. Gorbunov, D., Koyama, K., Sibiryakov, S.: Phys. Rev. D 73, 044016 (2006). [arXiv:hep-th/0512097]Google Scholar
  82. Charmousis, C., Gregory, R., Kaloper, N., Padilla, A.: JHEP 0610, 066 (2006). [arXiv:hep-th/0604086]Google Scholar
  83. Izumi, K., Koyama, K., Tanaka, T.: (2006). [arXiv:hep-th/0610282]Google Scholar
  84. Cline, J.M., Jeon, S., Moore, G.D.: Phys. Rev. D 70, 043543 (2004). [arXiv:hep-ph/0311312]Google Scholar
  85. Dvali, G.: New J. Phys. 8, 326 (2006). [arXiv:hep-th/0610013]Google Scholar
  86. Deffayet, C., Gabadadze, G., Iglesias, A.: JCAP 0608, 012 (2006). [arXiv:hep-th/0607099]Google Scholar
  87. Dvali, G., Gabadadze, G., Pujolas, O., Rahman, R.: (2006). [arXiv:hep-th/0612016]Google Scholar
  88. Gabadadze, G., Iglesias, A.: Phys. Rev. D 72, 084024 (2005). [arXiv:hep-th/0407049]Google Scholar
  89. Izumi, K., Koyama, K., Pujolas, O., Tanaka, T.: (2007, in press)Google Scholar
  90. Koyama, K.: Classical and Quantum Gravity. invited topical review (2007, in press)Google Scholar
  91. Adams, A., Arkani-Hamed, N., Dubovsky, S., Nicolis, A., Rattazzi, R.: JHEP 0610, 014 (2006). [arXiv: hep-th/0602178]Google Scholar
  92. Gabadadze, G., Iglesias, A.: Phys. Lett. B 639, 88 (2006). [arXiv:hep-th/0603199]Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Institute of Cosmology and GravitationUniversity of PortsmouthPortsmouthUK

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