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Advances in High Energy Physics
Volume 2014, Article ID 146094, 6 pages
http://dx.doi.org/10.1155/2014/146094
Research Article

Electrostatics in the Surroundings of a Topologically Charged Black Hole in the Brane

1National Astronomical Observatory, National University of Colombia, Bogota 11001000, Colombia
2Department of Physics, National University of Colombia, Bogota 11001000, Colombia

Received 27 December 2013; Revised 21 January 2014; Accepted 23 January 2014; Published 27 February 2014

Academic Editor: Christian Corda

Copyright © 2014 Alexis Larrañaga et al. 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. The publication of this article was funded by SCOAP3.

Linked References

  1. L. Randall and R. Sundrum, “An alternative to compactification,” Physical Review Letters, vol. 83, no. 23, pp. 4690–4693, 1999. View at Google Scholar · View at Scopus
  2. T. Shiromizu, K.-I. Maeda, and M. Sasaki, “The Einstein equations on the 3-brane world,” Physical Review D, vol. 62, no. 2, Article ID 024012, 6 pages, 2000. View at Google Scholar · View at Scopus
  3. M. Sasaki, T. Shiromizuand, and K. Maeda, “Gravity, stability, and energy conservation on the Randall-Sundrum brane world,” Physical Review D, vol. 62, Article ID 024008, 8 pages, 2000. View at Publisher · View at Google Scholar
  4. S. Nojiri, S. D. Odintsov, and S. Ogushi, “Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole,” International Journal of Modern Physics A, vol. 17, no. 32, pp. 4809–4870, 2002. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Nojiri, O. Obregon, S. D. Odintsov, and S. Ogushi, “Dilatonic brane-world black holes, gravity localization, and Newton's constant,” Physical Review D, vol. 62, no. 6, Article ID 064017, 10 pages, 2000. View at Google Scholar · View at Scopus
  6. P. Kanti and K. Tamvakis, “Quest for localized 4D black holes in brane worlds,” Physical Review D, vol. 65, no. 8, Article ID 084010, 2002. View at Google Scholar · View at Scopus
  7. R. Casadio, A. Fabbri, and L. Mazzacurati, “New black holes in the brane world?” Physical Review D, vol. 65, no. 8, Article ID 084040, 2002. View at Google Scholar · View at Scopus
  8. R. Casadio and L. Mazzacurati, “Bulk shape of brane-world black holes,” Modern Physics Letters A, vol. 18, no. 9, pp. 651–660, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. R. Casadio, “On brane-world black holes and short scale physics,” Annals of Physics, vol. 307, no. 2, pp. 195–208, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Chamblin, S. W. Hawking, and H. S. Reall, “Brane-world black holes,” Physical Review D, vol. 61, no. 6, Article ID 065007, 6 pages, 2000. View at Google Scholar · View at Scopus
  11. R. Casadio and B. Harms, “Black hole evaporation and large extra dimensions,” Physics Letters B, vol. 487, no. 3-4, pp. 209–214, 2000. View at Publisher · View at Google Scholar · View at Scopus
  12. N. Dadhich, R. Maartens, P. Papadopoulos, and V. Rezania, “Quark mixings in SU(6) X SU(2)(R) and suppression of V(ub),” Physics Letters B, vol. 487, no. 1-2, pp. 104–109, 2000. View at Publisher · View at Google Scholar · View at Scopus
  13. C. Germani and R. Maartens, “Stars in the braneworld,” Physical Review D, vol. 64, no. 12, Article ID 124010, 2001. View at Google Scholar · View at Scopus
  14. A. Chamblin, H. S. Reall, H.-A. Shinkai, and T. Shiromizu, “Charged brane-world black holes,” Physical Review D, vol. 63, no. 6, Article ID 064015, 2001. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Sheykhi and B. Wang, “On topological charged braneworld black holes,” Modern Physics Letters A, vol. 24, no. 31, pp. 2531–2538, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. E. Copson, “On electrostatics in a gravitational field,” Proceedings of the Royal Society A, vol. 118, pp. 184–194, 1928. View at Publisher · View at Google Scholar
  17. J. M. Cohen and R. M. Wald, “Point charge in the vicinity of a Schwarzschild black hole,” Journal of Mathematical Physics, vol. 12, no. 9, pp. 1845–1849, 1971. View at Google Scholar · View at Scopus
  18. R. S. Hanni and R. Ruffini, “Lines of force of a point charge near a schwarzschild black hole,” Physical Review D, vol. 8, no. 10, pp. 3259–3265, 1973. View at Publisher · View at Google Scholar · View at Scopus
  19. J. A. Petterson, “Magnetic field of a current loop around a schwarzschild black hole,” Physical Review D, vol. 10, no. 10, pp. 3166–3170, 1974. View at Publisher · View at Google Scholar · View at Scopus
  20. B. Linet, “Electrostatics and magnetostatics in the Schwarzschild metric,” Journal of Physics A, vol. 9, no. 7, pp. 1081–1087, 1976. View at Publisher · View at Google Scholar · View at Scopus
  21. B. Léauté and B. Linet, “Electrostatics in a Reissner-Nordström space-time,” Physics Letters A, vol. 58, pp. 5–6, 1976. View at Publisher · View at Google Scholar
  22. B. Léauté and B. Linet, “Principle of equivalence and electromagnetism,” International Journal of Theoretical Physics, vol. 22, no. 1, pp. 67–72, 1983. View at Publisher · View at Google Scholar · View at Scopus
  23. B. Léauté and B. Linet, “Self-interaction of an electric or magnetic dipole in the Schwarzschild space-time,” Classical Quantum Gravity, vol. 1, no. 1, p. 5, 1985. View at Publisher · View at Google Scholar
  24. J. Spinelly and V. B. Bezerra, “Electrostatic in Reissner-Nordström space-time with a conical defect,” Modern Physics Letters A, vol. 15, no. 32, pp. 1961–1966, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. M. Watanabe and A. W. C. Lun, “Electrostatic potential of a point charge in a Brans-Dicke Reissner-Nordström field,” Physical Review D, vol. 88, Article ID 045007, 11 pages, 2013. View at Publisher · View at Google Scholar
  26. R. Maartens, “Brane-world gravity,” Living Reviews in Relativity, vol. 7, pp. 1–99, 2004. View at Google Scholar · View at Scopus
  27. C. S. J. Pun, Z. Kovács, and T. Harko, “Thin accretion disks onto brane world black holes,” Physical Review D, vol. 78, no. 8, Article ID 084015, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. C. G. Böhmer, T. Harko, and F. S. N. Lobo, “Wormhole geometries with conformal motions,” Classical and Quantum Gravity, vol. 25, no. 7, Article ID 075016, 2008. View at Publisher · View at Google Scholar · View at Scopus
  29. W. Israel, “Event horizons in static electrovac space-times,” Communications in Mathematical Physics, vol. 8, no. 3, pp. 245–260, 1968. View at Publisher · View at Google Scholar · View at Scopus
  30. A. Vilenkin, “Self-interaction of charged particles in the gravitational field,” Physical Review D, vol. 20, no. 2, pp. 373–376, 1979. View at Publisher · View at Google Scholar · View at Scopus
  31. F. Piazzese and G. Rizzi, “On the electrostatic self-force in a Reissner-Nordström spacetime,” Physics Letters A, vol. 119, no. 1, pp. 7–9, 1986. View at Google Scholar · View at Scopus
  32. B. Boisseau, C. Charmousis, and B. Linet, “Electrostatic self-force in a static weak gravitational field with cylindrical symmetry,” Classical and Quantum Gravity, vol. 13, no. 7, pp. 1797–1803, 1996. View at Publisher · View at Google Scholar · View at Scopus
  33. A. G. Smith and C. M. Will, “Force on a static charge outside a Schwarzschild black hole,” Physical Review D, vol. 22, no. 6, pp. 1276–1284, 1980. View at Publisher · View at Google Scholar · View at Scopus
  34. A. I. Zel’nikov and V. P. Frolov, “Influence of gravitation on the self-energy of charged particles,” Journal of Experimental and Theoretical Physics, vol. 55, no. 2, p. 191, 1982. View at Google Scholar
  35. B. Linet, “Force on a charge in the space-time of a cosmic string,” Physical Review D, vol. 33, no. 6, pp. 1833–1834, 1986. View at Publisher · View at Google Scholar · View at Scopus
  36. A. G. Smith, “Gravitational effects of an infinite straight cosmic string on classical and quantum fields: self-forces and vacuum Fluctuations,” in Proceedings of the Symposium of the Formation and Evolution of Cosmic Strings, G. W. Gibbons, S. W. Hawking, and T. Vaschapati, Eds., p. 263, Cambridge University Press, 1990.
  37. E. R. Bezerra de Mello, V. B. Bezerra, C. Furtado, and F. Moraes, “Self-forces on electric and magnetic linear sources in the space-time of a cosmic string,” Physical Review D, vol. 51, no. 12, pp. 7140–7143, 1995. View at Publisher · View at Google Scholar · View at Scopus