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Metric factorizability and equivalence of brane world models with Brans-Dicke theory

Sumanta Chakraborty* and Soumitra SenGupta†

  • IUCAA, Post Bag 4, Ganeshkhind Pune University Campus, Pune 411 007, India and Department of Theoretical Physics, Indian Association for the Cultivation of Science, Kolkata 700032, India

  • *sumantac.physics@gmail.com, sumanta@iucaa.ernet.in
  • †tpssg@iacs.res.in
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Phys. Rev. D 92, 024059 – Published 31 July, 2015

DOI: https://doi.org/10.1103/PhysRevD.92.024059

Abstract

In the standard brane world models, the bulk metric ansatz is usually assumed to be factorizable in brane and bulk coordinates. However, it is not self-evident that it is always possible to factorize the bulk metric. Using the gradient expansion scheme, which involves the expansion of bulk quantities in terms of the brane-to-bulk curvature ratio as a perturbative parameter, we explicitly show that metric factorizability is a valid assumption up to second order in the perturbative expansion. We also argue from our result that the same should be true for all orders in the perturbation scheme. We further establish that the nonlocal terms present in the bulk gravitational field equation can be replaced by the radion field; the effective action on the brane thereby obtained resembles the Brans-Dicke theory of gravity.

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References (25)

  1. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998).
  2. I. Antaniodis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 436, 257 (1998).
  3. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
  4. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
  5. W. D. Goldberger and M. B. Wise, Phys. Rev. Lett. 83, 4922 (1999).
  6. W. D. Goldberger and M. B. Wise, Phys. Rev. D 60, 107505 (1999).
  7. S. Chakraborty and S. SenGupta, Eur. Phys. J. C 74, 3045 (2014).
  8. H. Davoudiasl, J. L. Hewett, and T. G. Rizzo, Phys. Lett. B 473, 43 (2000).
  9. H. Davoudiasl, J. L. Hewett, and T. G. Rizzo, Phys. Rev. D 63, 075004 (2001).
  10. H. Davoudiasl, J. L. Hewett, and T. G. Rizzo, Phys. Rev. Lett. 84, 2080 (2000).
  11. B. Mukhopahyaya, S. Sen, and S. SenGupta, Phys. Rev. D 79, 124029 (2009).
  12. A. Das, R. S. Hundi, and S. SenGupta, Phys. Rev. D 83, 116003 (2011).
  13. S. Chakraborty and S. SenGupta, Phys. Rev. D 89, 126001 (2014).
  14. A. Borzou, H. R. Sepangi, S. Shahidi, and R. Yousefi, Eur. Phys. Lett. 88, 29001 (2009).
  15. S. Jalalzadeh and H. R. Sepangi, Classical Quantum Gravity 22, 2035 (2005).
  16. V. I. Afonso, D. Bazeia, R. Menezes, and A. Y. Petrov, Phys. Lett. B 658, 71 (2007).
  17. S. Chakraborty and S. SenGupta, Phys. Rev. D 90, 047901 (2014).
  18. S. Chakraborty and S. SenGupta, Eur. Phys. J. C 75, 11 (2015).
  19. S. Chakraborty and S. SenGupta, arXiv:1412.7783.
  20. S. P. de Alwis, Phys. Lett. B 603, 230 (2004).
  21. S. Kanno and J. Soda, Phys. Rev. D 66, 083506 (2002).
  22. S. Kanno and J. Soda, Phys. Rev. D 66, 043526 (2002).
  23. S. Kanno and J. Soda, Astrophys. Space Sci. 283, 481 (2003).
  24. S. Kanno and J. Soda, Gen. Relativ. Gravit. 36, 689 (2004).
  25. S. Kanno and J. Soda, Phys. Rev. D 71, 044031 (2005).

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Phys. Rev. D 92, 024059– Published 31 July, 2015
  • Received 4 February 2015

© 2015 American Physical Society

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