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de Sitter branes with a bulk scalar

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Abstract

We propose new brane world models arising from a scalar field in the bulk. In these examples, the induced on-brane line element is de Sitter (or anti de Sitter) and the bulk (five dimensional) Einstein equations can be exactly solved to obtain warped spacetimes. The solutions thus derived are single and two-brane models—one with thin branes while the other one of the thick variety. The field profiles and the potentials are obtained and analysed for each case. We note that for the thick brane scenario the field profile resembles a kink, whereas for one or more thin branes, it is finite and bounded in the domain of the extra dimension. We have also addressed the localisation of gravity and other matter fields on the brane for these braneworld models.

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References

  1. Green M., Schwarz J., Witten E.: Superstring Theory. Cambridge University Press, Cambridge (1987)

    MATH  Google Scholar 

  2. Polchinski J.: String Theory, vol. I and II. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  3. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 3370 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 4690 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. Karch A., Randall L.: JHEP 0105, 008 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  6. Kobayashi S., Koyama K., Soda J.: Phys. Rev. D65, 064014 (2002)

    ADS  MathSciNet  Google Scholar 

  7. Bazeia D., Brito F.A., Gomes A.R.: JHEP 0411, 070 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  8. Kehagias A., Tamvakis K.: Phys. Lett. B504, 38 (2001)

    ADS  MathSciNet  Google Scholar 

  9. Silverstein E.: Int. J. Mod. Phys. A16, 641 (2001)

    ADS  MathSciNet  Google Scholar 

  10. Ringeval C., Peter P., Uzan J.P.: Phys. Rev. D65, 044416 (2002)

    ADS  MathSciNet  Google Scholar 

  11. Gremm M.: Phys. Lett. B478, 434 (2000)

    ADS  Google Scholar 

  12. Gremm M.: Phys. Rev. D62, 044017 (2000)

    ADS  Google Scholar 

  13. Koley R., Kar S.: Class. Quant. Grav. 22, 753 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. Giovannini M.: Phys. Rev. D64, 064023 (2001)

    ADS  MathSciNet  Google Scholar 

  15. Giovannini M.: Class. Quant. Grav. 20, 1063 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Koley. Kar R., Kar S.: Mod. Phys. Lett. A20, 363 (2005)

    ADS  Google Scholar 

  17. Visser M.: Phys. Lett. B159, 22 (1985)

    ADS  MathSciNet  Google Scholar 

  18. Gogberashvili M., Midodashvili P.: Phys. Lett. B515, 447 (2001)

    ADS  MathSciNet  Google Scholar 

  19. Gogberashvili M., Singleton D.: Phys. Rev. D69, 026004 (2004)

    ADS  MathSciNet  Google Scholar 

  20. Koley, R., Kar, S.: Phys. Lett. B623, 244 (2005); Erratum- ibid B631, 199 (2005)

  21. Giovannini M.: Phys. Rev. D64, 124004 (2001)

    ADS  MathSciNet  Google Scholar 

  22. Csaki C., Erlich J., Grojean C.: Nucl. Phys. B604, 312 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  23. Csaki, C.: In: The Proceedings of the EPS 2001 International Europhysics Conference on HEP (2001) hep-th/0110269

  24. Castillo-Felisola O., Melfo A., Pantoja N., Ramirez A.: Phys. Rev. D70, 104029 (2001)

    ADS  MathSciNet  Google Scholar 

  25. Kar, S.: gr-qc/0205020

  26. Oda I.: Phys. Lett. B496, 113 (2000)

    ADS  Google Scholar 

  27. Leblond F., Myers R.C., Winters D.J.: JHEP 0107, 031 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  28. Burgess C.P., Cline J.M., Constable N.R., Firouzjahi H.: JHEP 0201, 014 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  29. Gogberashvili M., Midodashvili P.: Europhys. Lett. 61, 308 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  30. Park D.K., Kim A.: Nucl. Phys. B650, 114 (2003)

    Article  ADS  Google Scholar 

  31. Koley R., Kar S.: Class. Quant. Gravit. 24, 79 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. DeWolfe O., Freedman D.Z., Gubser S.S., Karch A.: Phys. Rev. D62, 046008 (2000)

    ADS  MathSciNet  Google Scholar 

  33. Kim H.B., Kim H.D.: Phys. Rev. D61, 064003 (2000)

    ADS  Google Scholar 

  34. Binetruy P., Deffayet C., Ellwanger U., Langlois D.: Phys. Lett. B477, 285 (2000)

    ADS  Google Scholar 

  35. Bowcock P., Charmousis C., Gregory R.: Class. Quant. Grav. 17, 4745 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  36. Kanti P., Lee S., Olive K.A.: Phys. Rev. D67, 024037 (2003)

    ADS  MathSciNet  Google Scholar 

  37. Mukohyama S., Shiromizu T., Maeda K.: Phys. Rev. D62, 024028 (2000)

    ADS  MathSciNet  Google Scholar 

  38. Maartens R.: Living Rev. Relativ. 7, 7 (2004)

    ADS  Google Scholar 

  39. Langlois D.: Prog. Theor. Phys. Suppl. 148, 181 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  40. Bergshoeff E.A., Roo M., Wit T.C., Eyras E., Panda S.: JHEP 0005, 009 (2000)

    Article  ADS  Google Scholar 

  41. Sen A.: JHEP 0204, 048 (2002)

    Article  ADS  Google Scholar 

  42. Sen A.: JHEP 0207, 065 (2002)

    Article  ADS  Google Scholar 

  43. Sen A.: Mod. Phys. Lett. A17, 1797 (2002)

    ADS  Google Scholar 

  44. Mazumdar A., Panda S., Prez-Lorenzana A.: Nucl. Phys. B614, 101 (2001)

    Article  ADS  Google Scholar 

  45. Gibbons G.W.: Phys. Lett. B537, 1 (2002)

    ADS  MathSciNet  Google Scholar 

  46. Choudhury D., Ghoshal D., Jatkar D.P., Panda S.: Phys. Lett. B544, 231 (2002)

    ADS  Google Scholar 

  47. Fairbairn M., Tytgat M.H.G.: Phys. Lett. B546, 1 (2002)

    ADS  Google Scholar 

  48. Kar, S., Das, A., Jain, D., Kar, S.: Am. J. Phys. 75 , 259 (2007) hep-th/0210108

  49. Maity, D., SenGupta, S., Sur, S.: Phys. Lett. B643, 348 (2006)

    Google Scholar 

  50. Goldberger W.D., Wise M.B.: Phys. Rev. Lett. 83, 4922 (1999)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune, 411 007, India

    Supratik Pal

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata, 700 108, India

    Supratik Pal

  3. Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur, 721 302, India

    Sayan Kar

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  1. Supratik Pal
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  2. Sayan Kar
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Correspondence to Supratik Pal.

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Pal, S., Kar, S. de Sitter branes with a bulk scalar. Gen Relativ Gravit 41, 1165–1179 (2009). https://doi.org/10.1007/s10714-008-0697-2

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  • DOI: https://doi.org/10.1007/s10714-008-0697-2

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