Table of Contents
ISRN High Energy Physics
Volume 2013, Article ID 713508, 9 pages
http://dx.doi.org/10.1155/2013/713508
Research Article

Gravity with Extra Dimensions and Dark Matter Interpretation: A Straightforward Approach

1Universidade Federal do Paraná (UFPR), Campus Palotina, 85950-000 Palotina, PR, Brazil
2Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil

Received 8 May 2013; Accepted 6 June 2013

Academic Editors: G. A. Alves, G. Bonvicini, C. A. D. S. Pires, and A. Koshelev

Copyright © 2013 C. H. Coimbra Araújo and Roldão da Rocha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. Randall and R. Sundrum, “Large mass Hierarchy from a small extra dimension,” Physical Review Letters, vol. 83, no. 17, pp. 3370–3373, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. L. Randall and R. Sundrum, “An alternative to compactification,” Physical Review Letters, vol. 83, no. 23, pp. 4690–4693, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. H. Leutwyler, “Solution statique à symmetrie spherique en theorie penta-dimensionnelle,” Archives des Sciences, vol. 13, article 549, 1960. View at Google Scholar
  4. P. Dobiasch and D. Maison, “Stationary, spherically symmetric solutions of Jordan's unified theory of gravity and electromagnetism,” General Relativity and Gravitation, vol. 14, no. 3, pp. 231–242, 1982. View at Publisher · View at Google Scholar · View at Scopus
  5. D. Pollard, “Antigravity and classical solutions of five-dimensional Kaluza-Klein theory,” Journal of Physics A, vol. 16, no. 3, pp. 565–574, 1983. View at Publisher · View at Google Scholar · View at Scopus
  6. A. Chodos and S. Detweiler, “Spherically symmetric solutions in five-dimensional general relativity,” General Relativity and Gravitation, vol. 14, no. 10, pp. 879–890, 1982. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. G. W. Gibbons and D. L. Wiltshire, “Black holes in Kaluza-Klein theory,” Annals of Physics, vol. 167, no. 1, pp. 201–223, 1986, Erratum in: Annals of Physics, 176, 393, 1986. View at Publisher · View at Google Scholar · View at Scopus
  8. G. W. Gibbons and M. J. Perry, “Soliton supermultiplets and Kaluza-Klein theory,” Nuclear Physics B, vol. 248, no. 3, pp. 629–646, 1984. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Cvetic and D. Youm, “Static four-dimensional Abelian black holes in Kaluza-Klein theory,” Physical Review D, vol. 52, pp. 2144–2149, 1995. View at Publisher · View at Google Scholar
  10. M. Cvetič and D. Youm, “All the four-dimensional static, spherically symmetric solutions of Abelian Kaluza-Klein theory,” Physical Review Letters, vol. 75, no. 23, pp. 4165–4168, 1995. View at Publisher · View at Google Scholar · View at Scopus
  11. D. Rasheed, “The rotating dyonic black holes of Kaluza-Klein theory,” Nuclear Physics B, vol. 454, no. 1-2, pp. 379–401, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. J. M. Overduin and P. S. Wesson, “Kaluza-Klein gravity,” Physics Reports, vol. 283, no. 5-6, pp. 303–378, 1997. View at Publisher · View at Google Scholar
  13. P. Brax and C. van de Bruck, “Cosmology and brane worlds: a review,” Classical and Quantum Gravity, vol. 20, no. 9, article R201, 2003. View at Publisher · View at Google Scholar
  14. R. Maartens, “Brane-world gravity,” Living Reviews in Relativity, vol. 7, article 7, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. T. Gherghetta and M. Shaposhnikov, “Localizing gravity on a string-like defect in six dimensions,” Physical Review Letters, vol. 85, no. 240, p. 243, 2000. View at Publisher · View at Google Scholar
  16. A. G. Cohen and D. B. Kaplan, “Solving the hierarchy problem with noncompact extra dimensions,” Physics Letters B, vol. 470, pp. 52–58, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. R. Gregory, “Nonsingular global string compactifications,” Physical Review Letters, vol. 84, pp. 2564–2567, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. V. A. Rubakov, “Large and infinite extra dimensions,” Physics-Uspekhi, vol. 44, no. 9, pp. 871–893, 2001. View at Publisher · View at Google Scholar · View at Scopus
  19. C. H. Coimbra-Araújo and P. S. Letelier, “On the stability of universal extradimensional disks,” Classical and Quantum Gravity, vol. 25, no. 1, Article ID 015001, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  20. P. S. Letelier and C. H. Coimbra-Araujo, “Gravity with extra dimensions and dark matter interpretation: phenomenological example via Miyamoto-Nagai galaxy,” Brazilian Journal of Physics, vol. 42, no. 1-2, pp. 100–109, 2012. View at Publisher · View at Google Scholar
  21. C. H. Coimbra-Araujo and P. S. Letelier, “Athin disk in higher dimensional space-time and dark matter interpretation,” Physical Review D, vol. 76, no. 4, Article ID 043522, 17 pages, 2007. View at Publisher · View at Google Scholar
  22. C. H. Coimbra-Araujo and P. S. Letelier, “General relativistic results for a galactic disc in a multidimensional space-time,” in Proceedings of the IAU Symposium n. 238, V. Karas, Ed., Cambridge University Press, Cambridge, UK, 2006. View at Google Scholar
  23. C. H. Coimbra-Araujo and P. S. Letelier, “A general relativistic model of galaxy bulges in GEDi paradigm,” in Proceedings of the IAU Symposium n. 245, M. Bureau, E. Athanassoula, and B. Barbuy, Eds., pp. 239–240, Cambridge University Press, Cambridge, UK, 2007. View at Google Scholar
  24. M. E. Kahil and T. Harko, “Is dark matter an extra-dimensional effect?” Modern Physics Letters A, vol. 24, no. 9, pp. 667–682, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  25. T. Appelquist, H. C. Cheng, and B. A. Dobrescu, “Bounds on universal extra dimensions,” Physical Review D, vol. 64, no. 3, Article ID 035002, 10 pages, 2001. View at Publisher · View at Google Scholar
  26. D. Hooper and S. Profumo, “Dark matter and collider phenomenology of universal extra dimensions,” Physics Reports, vol. 453, no. 2-4, pp. 29–115, 2007. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Emparan, G. T. Horowitz, and R. C. Myers, “Black holes radiate mainly on the brane,” Physical Review Letters, vol. 85, pp. 499–502, 2000. View at Publisher · View at Google Scholar
  28. V. Cardoso, M. Cavaglia, and L. Gualtieri, “Black hole particle emission in higher-dimensional spacetimes,” Physical Review Letters, vol. 96, no. 7, Article ID 071301, 4 pages, 2006, Erratum in: Physical Review Letters, 96, 219902, 2006. View at Publisher · View at Google Scholar
  29. V. Cardoso, M. Cavaglia, and L. Gualtieri, “Hawking emission of gravitons in higher dimensions: non-rotating black holes,” Journal of High Energy Physics, vol. 2006, no. 2, article 021, 2006. View at Publisher · View at Google Scholar
  30. R. C. Myers and M. J. Perry, “Black holes in higher dimensional space-times,” Annals of Physics, vol. 172, no. 2, pp. 304–347, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  31. V. Frolov and D. Stojkovic, “Black hole as a point radiator and recoil effect on the brane world,” Physical Review Letters, vol. 89, no. 15, Article ID 151302, 2002. View at Google Scholar
  32. R. Emparan, J. Garcia-Bellido, and N. Kaloper, “Black hole astrophysics in AdS braneworlds,” Journal of High Energy Physics, vol. 2003, no. 1, article 079, 2003. View at Publisher · View at Google Scholar
  33. A. N. Aliev and A. E. Gumrukcuoglu, “Gravitational field equations on and off a 3-brane world,” Classical and Quantum Gravity, vol. 21, no. 22, pp. 5081–5096, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  34. G. Duffy, C. M. Harris, P. Kanti, and E. Winstanley, “Brane decay of a (4+n)-dimensional rotating black hole: spin-0 particles,” Journal of High Energy Physics, vol. 2005, no. 9, article 049, 2005. View at Publisher · View at Google Scholar
  35. R. da Rocha and C. H. Coimbra-Araujo, “Extra dimensions at the CERN LHC via mini-black holes: effective Kerr-Newman brane-world effects,” Physical Review D, vol. 74, no. 5, Article ID 055006, 12 pages, 2006. View at Publisher · View at Google Scholar
  36. R. da Rocha and C. H. Coimbra-Araujo, “Variation in the luminosity of Kerr quasars due to an extra dimension in the brane Randall Sundrum model,” Journal of Cosmology and Astroparticle Physics, vol. 2005, no. 12, article 009, 2005. View at Google Scholar · View at Zentralblatt MATH
  37. R. Gregory, V. A. Rubakov, and S. M. Sibiryakov, “Brane worlds: the gravity of escaping matter,” Classical and Quantum Gravity, vol. 17, pp. 4437–4449, 2000. View at Publisher · View at Google Scholar
  38. J. M. H. da Silva and R. da Rocha, “Torsion effects in braneworld scenarios,” Physical Review D, vol. 81, no. 2, Article ID 024021, 8 pages, 2010. View at Publisher · View at Google Scholar
  39. M. C. B. Abdalla, J. M. Hoff da Silva, and R. da Rocha, “Notes on the two-brane model with variable tension,” Physical Review D, vol. 80, Article ID 046003, 2009. View at Google Scholar
  40. K. A. Bronnikov, V. N. Melnikov, and H. Dehnen, “General class of brane-world black holes,” Physical Review D, vol. 68, Article ID 024025, 2003. View at Google Scholar
  41. R. M. Wald, General Relativity, The University of Chicago Press, Chicago, Ill, USA, 1984.
  42. M. Miyamoto and N. Nagai, “Three-dimensional models for the distribution of mass in galaxies,” Astronomical Society of Japan, vol. 27, no. 4, pp. 533–543, 1975. View at Google Scholar
  43. M. Chazy, “Sur le champ de gravitation de deux masses fixes dans la théorie de la relativité,” Bulletin de la Société Mathématique de France, vol. 52, pp. 17–38, 1924. View at Google Scholar
  44. H. Curzon, “Cylindrical solutions of Einstein's gravitation equations,” Proceedings of the London Mathematical Society, vol. 23, pp. 477–480, 1925. View at Google Scholar
  45. J. Binney and S. Tremaine, Galactic Dynamics, Princeton University Press, Princeton, NJ, USA, 1987.
  46. J. F. Navarro, C. S. Frenk, and S. D. M. White, “A universal density profile from hierarchical clustering,” Astrophysical Journal Letters, vol. 490, no. 2, pp. 493–508, 1997. View at Publisher · View at Google Scholar · View at Scopus
  47. Y. Sofue, Y. Tutui, M. Honma et al., “Central rotation curves of spiral galaxies,” Astrophysical Journal Letters, vol. 523, no. 1, pp. 136–146, 1999. View at Publisher · View at Google Scholar · View at Scopus
  48. V. Rubin, “Constraints on the dark matter from optical rotation curves,” in Proceedings of the IAU Symposium n. 117, pp. 51–62, D. Reidel, Dordrecht, The Netherlands, 1987. View at Google Scholar
  49. K. G. Begeman, “H I rotation curves of spiral galaxies. I—NGC, 3198,” Astronomy and Astrophysics, vol. 223, no. 1-2, pp. 47–60, 1989. View at Google Scholar
  50. O. Garrido, M. Marcelin, and P. Amram, “GHASP: an Ha kinematic survey of spiral and irregular galaxies—III. 15 new velocity fields and study of 46 rotation curves,” Monthly Notices of the Royal Astronomical Society, vol. 349, no. 1, pp. 225–239, 2004. View at Publisher · View at Google Scholar · View at Scopus
  51. Y. Sofue, J. Koda, H. Nakanishi, and S. Onodera, “The virgo high-resolution CO survey: II. Rotation curves and dynamical mass distributions,” Publications of the Astronomical Society of Japan, vol. 55, p. 59, 2003. View at Google Scholar
  52. C. F. Martins and P. Salucci, “Analysis of rotation curves in the framework of the gravitational suppression model,” Physical Review Letters, vol. 98, no. 15, Article ID 151301, 2007. View at Google Scholar
  53. C. F. Martins and P. Salucci, “Analysis of rotation curves in the framework of Rn gravity,” Monthly Notices of the Royal Astronomical Society, vol. 381, pp. 1103–1108, 2007. View at Publisher · View at Google Scholar