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7 Brane-World Cosmology

  • Roy Maartens
Part II Confrontation with the Observational Data: The Need of New Ideas
Part of the Lecture Notes in Physics book series (LNP, volume 653)

Abstract

According to recent ideas from particle physics, the universe could be a higher-dimensional spacetime, with our observable part of the universe being a four-dimensional “brane” surface. In this picture, Standard Model particles and fields are confined to the brane while gravity propagates freely in all dimensions. If one of the extra spatial dimensions is very large relative to the Planck scale, this lowers the fundamental gravity scale, possibly even down to electroweak scales (~TeV). At low energies, gravity is localized at the brane and general relativity is recovered, but at high energies gravity “leaks” off the brane, leading to significant corrections to general relativistic dynamics and perturbations. Here I review the geometry, dynamics and perturbations of simple brane-world models for cosmology.

Keywords

Dark Energy Extra Dimension Friedmann Equation Anisotropic Stress Junction Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1. For recent reviews, see, e.g., J.H. Schwarz, astro-ph/0304507; J. Polchinski, hep-th/0209105; R. Kallosh, hep-th/0205315.Google Scholar
  2. 2. M. Cavaglia, Int. J. Mod. Phys. A18, 1843 (2003), hep-ph/0210296.Google Scholar
  3. 3. J. Hewett, M. Spiropulu, Ann. Rev. Nucl. Part. Sci. 52, 397 (2002), hep-ph/0205106.Google Scholar
  4. 4. P. Horava, E. Witten, Nucl. Phys. B460, 506 (1996), hep-th/9510209.Google Scholar
  5. 5. A. Lukas, B.A. Ovrut, K.S. Stelle, D. Waldram, Phys. Rev. D59, 086001 (1999), hep-th/9803235; A. Lukas, B.A. Ovrut, D. Waldram, Phys. Rev. D60, 086001 (1999), hep-th/9806022; ibid., 61, 023506 (2000), hep-th/9902071.Google Scholar
  6. 6. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), hep-ph/9905221.Google Scholar
  7. 7. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999), hep-th/9906064.Google Scholar
  8. 8. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B429, 263 (1998), hep-ph/9803315; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B436, 257 (1998), hep-ph/9804398.Google Scholar
  9. 9. R. Maartens, gr-qc/0312059.Google Scholar
  10. 10. P. Brax, C. van de Bruck, Class. Quantum Grav. 20, R201 (2003), hep-th/0303095; N. Deruelle, Astrophys. Space Sci. 283, 619 (2003), gr-qc/0301035; S. Räsänen, astro-ph/0208282; D. Langlois, Prog. Theor. Phys. Suppl. 148, 181 (2002), hep-th/0209261; E. Papantonopoulos, Lect. Notes Phys. 592, 458 (2002), hep-th/0202044; D. Langlois, gr-qc/0207047; D. Wands, Class. Quantum Grav. 19, 3403 (2002), hep-th/0203107; D. Langlois, Int. J. Mod. Phys. A17, 2701 (2002), gr-qc/0205004; J. March-Russell, hep-ph/0012151.Google Scholar
  11. 11. D. Langlois, astro-ph/0301021.Google Scholar
  12. 12. W.D. Goldberger, M.B. Wise, Phys. Rev. Lett. 83, 4922 (1999), hep-ph/9907447.Google Scholar
  13. 13. J. Garriga, T. Tanaka, Phys. Rev. Lett. 84, 2778 (2000), hep-th/9911055.Google Scholar
  14. 14. P. Binetruy, C. Deffayet, U. Ellwanger, D. Langlois, Phys. Lett. B477, 285 (2000), hep-th/9910219.Google Scholar
  15. 15. P. Kraus, JHEP 12, 011 (1999), hep-th/9910149; N. Kaloper, Phys. Rev. D60, 123506 (1999), hep-th/9905210; A. Kehagias, E. Kiritsis, JHEP 11, 022 (1999), hep-th/9910174; S.S. Gubser, Phys. Rev. D63 084017 (2001), hep-th/9912001; S. Mukohyama, Phys. Lett. B473, 241 (2000), hep-th/9911165; D. Ida, JHEP 09, 014 (2000), gr-qc/9912002; E.E. Flanagan, S.-H. Henry Tye, I. Wasserman, Phys. Rev. D 62, 044039 (2000), hep-ph/9910498.Google Scholar
  16. 16. J. Garriga, M. Sasaki, Phys. Rev. D62, 043523 (2000), hep-th/9912118.Google Scholar
  17. 17. T. Shiromizu, K. Maeda, M. Sasaki, Phys. Rev. D62, 024012 (2000), gr-qc/9910076.Google Scholar
  18. 18. S. Mukohyama, T. Shiromizu, K. Maeda, Phys. Rev. D62, 024028 (2000), hep-th/9912287; P. Bowcock, C. Charmousis, R. Gregory, Class. Quantum Grav. 17, 4745 (2000), hep-th/0007177.Google Scholar
  19. 19. K. Maeda, D. Wands, Phys. Rev. D62, 124009 (2000), hep-th/0008188.Google Scholar
  20. 20. R. Maartens, Phys. Rev. D62, 084023 (2000), hep-th/0004166.Google Scholar
  21. 21. D. Langlois, R. Maartens, M. Sasaki, D. Wands, Phys. Rev. D63, 084009 (2001), hep-th/0012044.Google Scholar
  22. 22. J.D. Barrow, R. Maartens, Phys. Lett. B532, 153 (2002), gr-qc/0108073; K. Ichiki, M. Yahiro, T. Kajino, M. Orito, G.J. Mathews, Phys. Rev. D66, 043521 (2002), astro-ph/0203272; J.D. Bratt, A.C. Gault, R.J. Scherrer, T.P. Walker, Phys. Lett. B546, 19 (2002), astro-ph/0208133.Google Scholar
  23. 23. S. Kobayashi, K. Koyama, J. Soda, Phys. Lett. B501, 157 (2001), hep-th/0009160; Y. Himemoto, M. Sasaki, Phys. Rev. D63, 044015 (2001), gr-qc/0010035; E.E. Flanagan, S.-H. Henry Tye, I. Wasserman, Phys. Lett. B522, 155 (2001), hep-th/0110070; N. Sago, Y. Himemoto, M. Sasaki, Phys. Rev. D65, 024014 (2002), gr-qc/0104033; Y. Himemoto, T. Tanaka, M. Sasaki, Phys. Rev. D65, 104020 (2002), gr-qc/0112027; Y. Himemoto, T. Tanaka, Phys. Rev. D67, 084014 (2003), gr-qc/0212114; T. Tanaka, Y. Himemoto, Phys. Rev. D67, 104007 (2003), gr-qc/0301010; B. Wang, L-H. Xue, X. Zhang, W-Y.P. Hwang, Phys. Rev. D67, 123519 (2003), hep-th/0301072; K. Koyama, K. Takahashi, Phys. Rev. D67, 103503 (2003), hep-th/0301165; D. Langlois, M. Sasaki, Phys. Rev. D68, 064012 (2003), hep-th/0302069; Y. Himemoto, M. Sasaki, Prog. Theor. Phys. Suppl. 148, 235 (2002), gr-qc/0302054; R.H. Brandenberger, G. Geshnizjani, S. Watson, Phys. Rev. D67, 123510 (2003), hep-th/0302222; M. Minamitsuji, Y. Himemoto, M. Sasaki, Phys. Rev. D68, 024016 (2003), gr-qc/0303108; S. Kanno, J. Soda, hep-th/0303203; J. Martin, G.N. Felder, A.V. Frolov, M. Peloso, L. Kofman, hep-th/0309001; A.V. Frolov, L. Kofman, hep-th/0309002; P.R. Ashcroft, C. van de Bruck, A.-C. Davis, astro-ph/0310643.Google Scholar
  24. 24. G. Dvali, S.-H.H. Tye, Phys. Lett. B450, 72 (1999), hep-ph/9812483; S. Kanno, M. Sasaki, J. Soda, Prog. Theor. Phys. 109, 357 (2003), hep-th/0210250.Google Scholar
  25. 25. J. Khoury, B.A. Ovrut, P.J. Steinhardt, N. Turok, Phys. Rev. D64, 123522 (2001), hep-th/0103239; R. Kallosh, L. Kofman, A. Linde, Phys. Rev. D64, 123523 (2001), hep-th/0104073; A. Neronov, JHEP 11, 007 (2001), hep-th/0109090; P.J. Steinhardt, N. Turok, Phys. Rev. D65, 126003 (2002), hep-th/0111098; D. Langlois, K. Maeda, D. Wands, Phys. Rev. Lett. 88, 181301 (2002), gr-qc/0111013; N.E. Mavromatos, hep-th/0210008; A.J. Tolley, N. Turok, P.J. Steinhardt, hep-th/0306109.Google Scholar
  26. 26. R. Maartens, D. Wands, B.A. Bassett, I.P.C. Heard, Phys. Rev. D62, 041301 (2000), astro-ph/0009131.Google Scholar
  27. 27. N. Kaloper, Phys. Rev. D60, 123506 (1999), hep-th/9905210; J.M. Cline, C. Grojean, G. Servant, Phys. Rev. Lett. 83, 4245 (1999), hep-ph/9906523; H. Stoica, S.-H. Henry Tye, I. Wasserman, Phys. Lett. B482, 205 (2000), hep-th/0004126; L. Mendes, A.R. Liddle, Phys. Rev. D62, 103511 (2000), astro-ph/0006020; A. Mazumdar, Phys. Rev. D64, 027304 (2001), hep-ph/0007269; S.C. Davis, W.B. Perkins, A.-C. Davis, I.R. Vernon, Phys. Rev. D63, 083518 (2001), hep-ph/0012223; A.R. Liddle, A.N. Taylor, Phys. Rev. D65, 041301 (2002), astro-ph/0109412; M.C. Bento, O. Bertolami, Phys. Rev. D65, 063513 (2002), astro-ph/0111273; M.C. Bento, O. Bertolami, A.A. Sen, Phys. Rev. D67, 023504 (2003), gr-qc/0204046; ibid., 063511 (2003), hep-th/0208124; S. Mizuno, K. Maeda, K. Yamamoto, Phys. Rev. D67, 024033 (2003), hep-ph/0205292; R. Hawkins, J.E. Lidsey, Phys. Rev. D68, 083505 (2003), astro-ph/0306311; K.E. Kunze, hep-th/0310200.Google Scholar
  28. 28. E.J. Copeland, A.R. Liddle, J.E. Lidsey, Phys. Rev. D64, 023509 (2001), astro-ph/0006421; A. S. Majumdar, Phys. Rev. D64, 083503 (2001), astro-ph/0105518; V. Sahni, M. Sami, T. Souradeep, Phys. Rev. D65, 023518 (2002), gr-qc/0105121; N.J. Nunes, E.J. Copeland, Phys. Rev. D66, 043524 (2002), astro-ph/0204115; A.R. Liddle, L.A. Urena-Lopez, Phys. Rev. D68, 043517 (2003), astro-ph/0302054.Google Scholar
  29. 29. G. Huey, J.E. Lidsey, Phys. Lett. B514, 217 (2001), astro-ph/0104006.Google Scholar
  30. 30. A. Albrecht, C.P. Burgess, F. Ravndal, C. Skordis, Phys. Rev. D65, 123507 (2002), astro-ph/0107573; S. Mizuno, K. Maeda, Phys. Rev. D64, 123521 (2001), hep-ph/0108012; J.E. Lidsey, T. Matos, L.A. Urena-Lopez, Phys. Rev. D66, 023514 (2002), astro-ph/0111292; C.P. Burgess, astro-ph/0207174; D. Seery, B.A. Bassett, astro-ph/0310208.Google Scholar
  31. 31. D. Wands, K. A. Malik, D. H. Lyth, A. R. Liddle, Phys. Rev. D62, 043527 (2000), astro-ph/0003278.Google Scholar
  32. 32. A.R. Liddle, A.J. Smith, Phys. Rev. D68, 061301 (2003), astro-ph/0307017.Google Scholar
  33. 33. D. Langlois, R. Maartens, D. Wands, Phys. Lett. B489, 259 (2000), hep-th/0006007.Google Scholar
  34. 34. D.S. Gorbunov, V.A. Rubakov, S.M. Sibiryakov, JHEP 10, 15 (2001), hep-th/0108017.Google Scholar
  35. 35. H.A. Bridgman, K.A. Malik, D. Wands, Phys. Rev. D63, 084012 (2001), hep-th/0010133.Google Scholar
  36. 36. J. Soda, S. Kanno, Phys. Rev. D66, 083506 (2002), hep-th/0207029; T. Wiseman, Class. Quantum Grav. 19, 3083 (2002), hep-th/0201127; T. Shiromizu, K. Koyama, Phys. Rev. D67, 084022 (2003), hep-th/0210066; J. Soda, S. Kanno, Astrophys. Space Sci. 283, 639 (2003), gr-qc/0209086; ibid., hep-th/0303203.Google Scholar
  37. 37. K. Koyama, Phys. Rev. Lett., in press (2003), astro-ph/0303108.Google Scholar
  38. 38. C.S. Rhodes, C. van de Bruck, Ph. Brax, A.C. Davis, Phys. Rev. D68, 083511 (2003), astro-ph/0306343; P. Brax, C. van de Bruck, A.-C. Davis, C.S. Rhodes, hep-ph/0309181.Google Scholar
  39. 39. T. Hiramatsu, K. Koyama, A. Taruya, hep-th/0308072.Google Scholar
  40. 40. R. Easther, D. Langlois, R. Maartens, D. Wands, JCAP 10, 014 (2003), hep-th/0308078.Google Scholar
  41. 41. S. Mukohyama, Phys. Rev. D62, 084015 (2000), hep-th/0004067; S. Mukohyama, Phys. Rev. D64, 064006 (2001), hep-th/0104185.Google Scholar
  42. 42. H.A. Bridgman, K.A. Malik, D. Wands, Phys. Rev. D65, 043502 (2002), astro-ph/0107245.Google Scholar
  43. 43. K. Koyama, Phys. Rev. D66, 084003 (2002), gr-qc/0204047.Google Scholar
  44. 44. A. Frolov, L. Kofman, hep-th/0209133.Google Scholar
  45. 45. T. Kobayashi, H. Kudoh, T. Tanaka, Phys. Rev. D68, 044025 (2003), gr-qc/0305006.Google Scholar
  46. 46. K. Koyama, unpublished notes.Google Scholar
  47. 47. R. Brustein, S.P. de Alwis, E.G. Novak, Phys. Rev. D68, 043507 (2003), hep-th/0212344; L. Kofman, astro-ph/0303614; S. Kachru, R. Kallosh, A. Linde, J. Maldacena, L. McAllister, S.P. Trivedi, JCAP 10, 013 (2003), hep-th/0308055; M. Peloso, E. Poppitz, hep-ph/0307379; J. Gray, A. Lukas, hep-th/0309096.Google Scholar
  48. 48. N. Deruelle, T. Dolezel, Phys. Rev. D62, 103502 (2000), gr-qc/0004021; C. Germani, C.F. Sopuerta, Phys. Rev. Lett. 88, 231101 (2002), hep-th/0202060; C. Charmousis, J-F. Dufaux, Class. Quantum Grav. 19, 4671 (2002), hep-th/0202107; P. Binetruy, C. Charmousis, S.C. Davis, J.-F. Dufaux, Phys. Lett. B544, 183 (2002), hep-th/0206089; N.E. Mavromatos, J. Rizos, Int. J. Mod. Phys. A18, 57 (2003), hep-th/0205299; J.E. Lidsey, N.J. Nunes, Phys. Rev. D67, 103510 (2003), astro-ph/0303168; N. Deruelle, J. Madore, gr-qc/0305004; C. Barcelo, C. Germani, C.F. Sopuerta, Phys. Rev. D68, 104007 (2003), gr-qc/0306072; N. Deruelle, C. Germani, gr-qc/0306116; C. Charmousis, S.C. Davis, J.-F. Dufaux, hep-th/0309083; K. Maeda, T. Torii, hep-th/0309152.Google Scholar
  49. 49. G. Dvali, G. Gabadadze, M. Porrati, Phys. Lett. B485, 208 (2000), hep-th/0005016. See also, H. Collins, B. Holdom, Phys. Rev. D62, 105009 (2000), hep-ph/0003173; Yu.V. Shtanov, hep-th/0005193.Google Scholar
  50. 50. C. Deffayet, G. Dvali, G. Gabadadze, Phys. Rev. D65, 044023 (2002), astro-ph/0105068; G. Kofinas, JHEP 08, 034 (2001), hep-th/0108013; G.A. Diamandis, B.C. Georgalas, N.E. Mavromatos, E. Papantonopoulos, I. Pappa, Int. J. Mod. Phys. A17, 2241 (2002), hep-th/0107124; E. Kiritsis, N. Tetradis, T.N. Tomaras, JHEP 03, 019 (2002), hep-th/0202037; C. Deffayet, S.J. Landau, J. Raux, M. Zaldarriaga, P. Astier, Phys. Rev. D66, 024019 (2002), astro-ph/0201164; V. Sahni, Y. Shtanov, astro-ph/0202346; Y. Shtanov, V. Sahni, Class. Quantum Grav. 19, L101 (2002), gr-qc/0204040; V. Sahni, Y. Shtanov, Int. J. Mod. Phys. D11, 1 (2002), gr-qc/0205111; P. Singh, R.G. Vishwakarma, N.K. Dadhich, hep-th/0206193; U. Alam, V. Sahni, astro-ph/0209443; K. Maeda, S. Mizuno, T. Torii, Phys. Rev. D68, 024033 (2003), gr-qc/0303039; A. Lue, G. Starkman, Phys. Rev. D67, 064002 (2003), astro-ph/0212083; T. Multamäki, E. Gaztañaga, M. Manera, Mon. Not. Roy. Astron. Soc. 344, 761 (2003), astro-ph/0303526; B. Gumjudpai, gr-qc/0308046.Google Scholar
  51. 51. G. Kofinas, R. Maartens, E. Papantonopoulos, JHEP 10, 066 (2003), hep-th/0307138.Google Scholar

Authors and Affiliations

  • Roy Maartens
    • 1
  1. 1.Institute of Cosmology and Gravitation, University of Portsmouth , Portsmouth PO1 2EGUK

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