Skip to main content
SpringerLink
Log in

7 Brane-World Cosmology

  • Part II Confrontation with the Observational Data: The Need of New Ideas
  • Chapter
  • First Online:
The Physics of the Early Universe

Part of the book series: Lecture Notes in Physics ((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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • 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. M. Cavaglia, Int. J. Mod. Phys. A18, 1843 (2003), hep-ph/0210296.

    Google Scholar 

  • 3. J. Hewett, M. Spiropulu, Ann. Rev. Nucl. Part. Sci. 52, 397 (2002), hep-ph/0205106.

    Google Scholar 

  • 4. P. Horava, E. Witten, Nucl. Phys. B460, 506 (1996), hep-th/9510209.

    Google Scholar 

  • 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. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), hep-ph/9905221.

    Google Scholar 

  • 7. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999), hep-th/9906064.

    Google Scholar 

  • 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. R. Maartens, gr-qc/0312059.

    Google Scholar 

  • 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. D. Langlois, astro-ph/0301021.

    Google Scholar 

  • 12. W.D. Goldberger, M.B. Wise, Phys. Rev. Lett. 83, 4922 (1999), hep-ph/9907447.

    Google Scholar 

  • 13. J. Garriga, T. Tanaka, Phys. Rev. Lett. 84, 2778 (2000), hep-th/9911055.

    Google Scholar 

  • 14. P. Binetruy, C. Deffayet, U. Ellwanger, D. Langlois, Phys. Lett. B477, 285 (2000), hep-th/9910219.

    Google Scholar 

  • 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. J. Garriga, M. Sasaki, Phys. Rev. D62, 043523 (2000), hep-th/9912118.

    Google Scholar 

  • 17. T. Shiromizu, K. Maeda, M. Sasaki, Phys. Rev. D62, 024012 (2000), gr-qc/9910076.

    Google Scholar 

  • 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. K. Maeda, D. Wands, Phys. Rev. D62, 124009 (2000), hep-th/0008188.

    Google Scholar 

  • 20. R. Maartens, Phys. Rev. D62, 084023 (2000), hep-th/0004166.

    Google Scholar 

  • 21. D. Langlois, R. Maartens, M. Sasaki, D. Wands, Phys. Rev. D63, 084009 (2001), hep-th/0012044.

    Google Scholar 

  • 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. 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. 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. 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. R. Maartens, D. Wands, B.A. Bassett, I.P.C. Heard, Phys. Rev. D62, 041301 (2000), astro-ph/0009131.

    Google Scholar 

  • 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. 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. G. Huey, J.E. Lidsey, Phys. Lett. B514, 217 (2001), astro-ph/0104006.

    Google Scholar 

  • 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. D. Wands, K. A. Malik, D. H. Lyth, A. R. Liddle, Phys. Rev. D62, 043527 (2000), astro-ph/0003278.

    Google Scholar 

  • 32. A.R. Liddle, A.J. Smith, Phys. Rev. D68, 061301 (2003), astro-ph/0307017.

    Google Scholar 

  • 33. D. Langlois, R. Maartens, D. Wands, Phys. Lett. B489, 259 (2000), hep-th/0006007.

    Google Scholar 

  • 34. D.S. Gorbunov, V.A. Rubakov, S.M. Sibiryakov, JHEP 10, 15 (2001), hep-th/0108017.

    Google Scholar 

  • 35. H.A. Bridgman, K.A. Malik, D. Wands, Phys. Rev. D63, 084012 (2001), hep-th/0010133.

    Google Scholar 

  • 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. K. Koyama, Phys. Rev. Lett., in press (2003), astro-ph/0303108.

    Google Scholar 

  • 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. T. Hiramatsu, K. Koyama, A. Taruya, hep-th/0308072.

    Google Scholar 

  • 40. R. Easther, D. Langlois, R. Maartens, D. Wands, JCAP 10, 014 (2003), hep-th/0308078.

    Google Scholar 

  • 41. S. Mukohyama, Phys. Rev. D62, 084015 (2000), hep-th/0004067; S. Mukohyama, Phys. Rev. D64, 064006 (2001), hep-th/0104185.

    Google Scholar 

  • 42. H.A. Bridgman, K.A. Malik, D. Wands, Phys. Rev. D65, 043502 (2002), astro-ph/0107245.

    Google Scholar 

  • 43. K. Koyama, Phys. Rev. D66, 084003 (2002), gr-qc/0204047.

    Google Scholar 

  • 44. A. Frolov, L. Kofman, hep-th/0209133.

    Google Scholar 

  • 45. T. Kobayashi, H. Kudoh, T. Tanaka, Phys. Rev. D68, 044025 (2003), gr-qc/0305006.

    Google Scholar 

  • 46. K. Koyama, unpublished notes.

    Google Scholar 

  • 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. 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. 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. 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. G. Kofinas, R. Maartens, E. Papantonopoulos, JHEP 10, 066 (2003), hep-th/0307138.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Cosmology and Gravitation, University of Portsmouth , Portsmouth PO1 2EG, UK

    Roy Maartens

Authors
  1. Roy Maartens
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

E. Papantonopoulos

Rights and permissions

Reprints and permissions

About this chapter

Cite this chapter

Maartens, R. 7 Brane-World Cosmology. In: Papantonopoulos, E. (eds) The Physics of the Early Universe. Lecture Notes in Physics, vol 653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31535-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31535-3_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22712-0

  • Online ISBN: 978-3-540-31535-3

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation