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Spherically symmetric braneworld solutions with an (4)R term in the bulk

G. Kofinas*

E. Papantonopoulos† and I. Pappa‡

  • Department of Physics, Nuclear and Particle Physics Section, University of Athens, Panepistimioupolis GR 157 71, Ilisia, Athens, Greece

  • Physics Department, National Technical University of Athens, Zografou Campus GR 157 80, Athens, Greece

  • *Email address: gkofin@phys.uoa.gr
  • †Email address: lpapa@central.ntua.gr
  • ‡Email address: gpappa@central.ntua.gr
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Phys. Rev. D 66, 104014 – Published 22 November, 2002

DOI: https://doi.org/10.1103/PhysRevD.66.104014

Abstract

An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action; the vanishing of the electric part of the Weyl tensor is used as the boundary condition for the embedding of the brane in the bulk. All the solutions outside a static localized matter distribution are found; some of them are of the Schwarzschild-(A)dS4 form. Two modified Oppenheimer-Volkoff interior solutions are also found; one is matched to a Schwarzschild-(A)dS4 exterior, while the other is not. A nonuniversal gravitational constant arises, depending on the density of the considered object; however, the conventional limits of Newton’s constant are recovered. An upper bound of the order of TeV for the energy string scale is extracted from the known solar system measurements (experiments). On the contrary, in the usual brane dynamics, this string scale is calculated to be larger than TeV.

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References (62)

  1. T. Shiromizu, K. Maeda, and M. Sasaki, Phys. Rev. D 62, 024012 (2000).
  2. R. Sundrum, Phys. Rev. D 59, 085009 (1999).
  3. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
  4. G. Dvali, G. Gabadadze, and M. Porati, Phys. Lett. B 485, 208 (2000).
  5. G. Dvali and G. Gabadadze, Phys. Rev. D 63, 065007 (2001).
  6. D.M. Capper, Nuovo Cimento Soc. Ital. Fis., A 25, 29 (1975).
  7. S.L. Adler, Phys. Rev. Lett. 44, 1567 (1980); Phys. Lett. 95B, 241 (1980); Rev. Mod. Phys. 54, 729 (1982); ibid.55, 837(E) (1983).
  8. A. Zee, Phys. Rev. Lett. 48, 295 (1982).
  9. N.N. Khuri, Phys. Rev. Lett. 49, 513 (1982); Phys. Rev. D 26, 2664 (1982).
  10. E. Kiritsis, N. Tetradis, and T.N. Tomaras, J. High Energy Phys. 08, 012 (2001).
  11. S. Corley, D. Lowe, and S. Ramgoolam, J. High Energy Phys. 07, 030 (2001).
  12. G. Kofinas, J. High Energy Phys. 08, 034 (2001).
  13. H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000).
  14. Y. Shtanov, “On Brane-World Cosmology,” hep-th/0005193.
  15. S. Nojiri and S.D. Odintsov, J. High Energy Phys. 07, 049 (2000).
  16. C. Deffayet, Phys. Lett. B 502, 199 (2001).
  17. N.J. Kim, H.W. Lee, and Y.S. Myung, Phys. Lett. B 504, 323 (2001).
  18. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); ibid.83, 4690 (1999).
  19. P. Horava and E. Witten, Nucl. Phys. B460, 506 (1996).
  20. M. Cvetic and H. Soleng, Phys. Rep. 282, 159 (1997).
  21. A. Kehagias, Phys. Lett. B 469, 123 (1999).
  22. H. Verlinde, Nucl. Phys. B580, 264 (2000).
  23. A. Chamblin, S.W. Hawking, and H.S. Reall, Phys. Rev. D 61, 065007 (2000).
  24. D. Brecher and M.J. Perry, Nucl. Phys. B566, 151 (2000).
  25. R. Emparan, G.T. Horowitz, and R.C. Myers, J. High Energy Phys. 01, 007 (2000).
  26. A. Chamblin, H.S. Reall, H. Shinkai, and T. Shiromizu, Phys. Rev. D 63, 064015 (2001).
  27. A. Chamblin, C. Csaki, J. Erlich, and T.J. Hollowood, Phys. Rev. D 62, 044012 (2000).
  28. T. Hirayama and G. Kang, Phys. Rev. D 64, 064010 (2001).
  29. A. Karch and L. Randall, J. High Energy Phys. 05, 008 (2001).
  30. O. Dewolfe, D.Z. Freedman, S.S. Gubser, and A. Karch, Phys. Rev. D 62, 046008 (2000).
  31. H.B. Kim and H.D. Kim, Phys. Rev. D 61, 064003 (2000).
  32. N. Kaloper, Phys. Rev. D 60, 123506 (1999).
  33. J. Garriga and M. Sasaki, Phys. Rev. D 62, 043523 (2000).
  34. C. Germani and R. Maartens, Phys. Rev. D 64, 124010 (2001).
  35. T. Wiseman, Phys. Rev. D 65, 124007 (2002).
  36. N. Deruelle, “Stars on Branes: the View from the Brane,” gr-qc/0111065.
  37. W. Israel, Nuovo Cimento B 44, 1 (1966); ibid.48, 463(E) (1967).
  38. G. Darmois, “Mémorial des Sciences Mathématiques XXV,” 1927.
  39. K. Lanczos, “Untersuching über Flächenhafte Verteiliung der Materie in der Einsteinschen Gravitationstheorie,” 1922; Ann. Phys. (Leipzig) 74, 518 (1924).
  40. N. Sen, Ann. Phys. (Leipzig) 73, 365 (1924).
  41. N. Dadhich, R. Maartens, P. Papadopoulos, and V. Rezania, Phys. Lett. B 487, 1 (2000).
  42. R. Maartens, Phys. Rev. D 62, 084023 (2000); “Geometry and Dynamics of the Brane-World,” gr-qc/0101059.
  43. N. Dadhich, Phys. Lett. B 492, 357 (2000); ibid.P. Singh and N. Dadhich, 511, 291 (2001).
  44. R. Casadio, A. Fabbri, and L. Mazzacurati, Phys. Rev. D 65, 084040 (2002).
  45. P. Binétruy, C. Deffayet, U. Ellwanger, and D. Langlois, Phys. Lett. B 477, 285 (2000).
  46. J.L. Synge, Relativity: The General Theory (North-Holland, Amsterdam, 1971).
  47. N.O. Santos, Mon. Not. R. Astron. Soc. 216, 403 (1985).
  48. F. Kottler, Ann. Phys. (Leipzig) 56, 410 (1918).
  49. G.W. Gibbons and S.W. Hawking, Phys. Rev. D 15, 2738 (1977).
  50. E.L. Wright, “Interplanetary Measures Cannot Bound the Cosmological Constant,” Report No. UCLA-ASTRO-ELW-98-01, astro-ph/9805292.
  51. I.P. Neupane, “Planetary Perturbation with Cosmological Constant,” gr-qc/9902039.
  52. A. Edery, Phys. Rev. Lett. 83, 3990 (1999).
  53. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
  54. A. Edery and M.B. Paranjape, Phys. Rev. D 58, 024011 (1998).
  55. E.B. Fomalont and R.A. Sramek, Phys. Rev. Lett. 36, 1475 (1976).
  56. R.D. Reasenberg et al., Astrophys. J., Lett. Ed. 234, L219 (1979).
  57. P.D. Mannheim and D. Kazanas, Astrophys. J. 342, 635 (1989); Phys. Rev. D 44, 417 (1991).
  58. P.D. Mannheim, “Linear Potentials and Galactic Rotation Curves—Formalism,” astro-ph/9307004; “Microlensing, Newton-Einstein Gravity and Conformal Gravity,” astro-ph/9412007; Found. Phys. 30, 709 (2000).
  59. J.D. Bekenstein, M. Milgrom, and R.H. Sanders, Phys. Rev. Lett. 85, 1346 (2000).
  60. S. Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62, 024028 (2000); ibid.63, 029901(E) (2000).
  61. P. Bowcock, C. Charmousis, and R. Gregory, Class. Quantum Grav. 17, 4745 (2000).
  62. R. Gregory, Class. Quantum Grav. 17, L125 (2000).

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Phys. Rev. D 66, 104014– Published 22 November, 2002
  • Received 28 April 2002

© 2002 American Physical Society

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