Probing topologically charged black holes on brane worlds in \(f(\mathrm {R})\) bulk

  • André M. Kuerten
  • Roldão da RochaEmail author
Research Article


The perihelion precession, the deflection of light and the radar echo delay are classical tests of General Relativity here used to probe brane-world topologically charged black holes in a f(R) bulk. Moreover, such tests are used to constrain the parameter that arises from the Shiromizu–Maeda–Sasaki procedure applied to a f(R) bulk. Observational data constrain the possible values of the tidal charge parameter and the effective cosmological constant in this context. We show that the observational/experimental data for both perihelion precession and radar echo delay make the black hole parameters to be more strict than the ones for the DMPR black hole. Moreover, the deflection of light constrains the tidal charge parameter similarly as the DMPR black holes, due to a peculiarity in the equation of motion.


Brane-world ccenarios Black holes Classical tests of general relativity f(R) gravity 



The authors thank Prof. R. Venegeroles and Prof. Julio M. Hoff da Silva for valuable and fruitful discussions. A. M. K. is grateful to CAPES and “Programa Ciência sem Fronteiras” (CsF) for financial support. R. d R. thanks to FAPESP Grant No. 2015/10270-0 and CNPq Grants No. 473326/2013-2 and No. 303027/2012-6 for partial financial support.


  1. 1.
    Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    Gogberashvili, M.: Europhys. Lett. 49, 396 (2000)ADSCrossRefGoogle Scholar
  3. 3.
    Binetruy, P., Deffayet, C., Ellwanger, U., Langlois, D.: Phys. Lett. B 477, 285 (2000)ADSCrossRefGoogle Scholar
  4. 4.
    Maartens, R.: Phys. Rev. D 62, 084023 (2000)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    Barbosa-Cendejas, N., Herrera-Aguilar, A.: JHEP 0510, 101 (2005)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    da Silva, H.J.M., da Rocha, R.: Class. Quantun Gravity. 26, 055007 (2009). [Erratum-ibid. 26 (2009) 179801]Google Scholar
  7. 7.
    Hoff da Silva, J.M., da Rocha, R.: Phys. Rev. D 81, 024021 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    Casadio, R., Ovalle, J., da Rocha, R.: Class. Quantum Gravity 31, 045016 (2014)ADSCrossRefGoogle Scholar
  9. 9.
    Alberghi, G.L., Casadio, R., Micu, O., Orlandi, A.: JHEP 1109, 023 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    Bruni, M., Germani, C., Maartens, R.: Phys. Rev. Lett. 87, 231302 (2001)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    da Rocha, R., Piloyan, A., Coimbra-Araujo, C., Kuerten, A.M.: Class. Quantum Gravity 30, 045014 (2013)ADSCrossRefGoogle Scholar
  12. 12.
    Coimbra-Araujo, C.H., da Rocha, R., Pedron, I.T.: Int. J. Mod. Phys. D 14, 1883 (2005)ADSCrossRefGoogle Scholar
  13. 13.
    Riess, A.G., et al.: Supernova search team collaboration. Astron J. 116, 1009 (1998)ADSCrossRefGoogle Scholar
  14. 14.
    Dvali, G.R., Gabadadze, G., Porrati, M.: Phys. Lett. B 485, 208 (2000)ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Nojiri, S.I., Odintsov, S.D.: Prog. Theor. Phys. Suppl. 190, 155 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    Carames, T.R.P., Guimaraes, M.E.X., Hoff da Silva, J.M.: Phys. Rev. D 87, 106011 (2013)ADSCrossRefGoogle Scholar
  17. 17.
    Huang, B., Li, S., Ma, Y.: Phys. Rev. D 81, 064003 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    Wu, Y.B., Zhao, Y.-Y., Lu, J.W., Zhang, X., Zhang, C.Y., Qiao, J.W.: Eur. Phys. J. C 74, 2791 (2014)ADSCrossRefGoogle Scholar
  19. 19.
    Chakraborty, S., SenGupta, S.: Eur. Phys. J. C 75, 11 (2015)ADSCrossRefGoogle Scholar
  20. 20.
    Boehmer, C.G., De Risi, G., Harko, T., Lobo, F.S.N.: Class. Quantum Gravity 27, 185013 (2010)ADSCrossRefGoogle Scholar
  21. 21.
    Larranaga, A., Rengifo, A., Cabarique, L.: Adv. High Energy Phys. 2013, 789392 (2013)MathSciNetGoogle Scholar
  22. 22.
    Borzou, A., Sepangi, H.R., Shahidi, S., Youse, R.: Europhys. Lett. 88, 29001 (2009)ADSCrossRefGoogle Scholar
  23. 23.
    Shiromizu, T., Maeda, K.-i, Sasaki, M.: Phys. Rev. D 62, 024012 (2000)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    Rindler, W., Ishak, M.: Phys. Rev. D 76, 043006 (2007)ADSCrossRefGoogle Scholar
  25. 25.
    Sheykhi, A., Wang, B.: Mod. Phys. Lett. A 24, 2531 (2009)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    Herrera-Aguilar, A., Kuerten, A.M., da Rocha, R.: Adv. High Energy Phys. 2015, 359268 (2015)CrossRefGoogle Scholar
  27. 27.
    Dadhich, N., Maartens, R., Papadopoulos, P., Rezania, V.: Phys. Lett. B 487, 1 (2000)ADSMathSciNetCrossRefGoogle Scholar
  28. 28.
    Capozziello, S., Cardone, V.F., Carloni, S., Troisi, A.: Int. J. Mod. Phys. D 12, 1969 (2003)ADSCrossRefGoogle Scholar
  29. 29.
    Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)ADSCrossRefGoogle Scholar
  30. 30.
    Saaidi, K., Vajdi, A., Aghamohammadi, A.: Gen. Relativ. Gravit 42, 2421 (2010)ADSMathSciNetCrossRefGoogle Scholar
  31. 31.
    Casadio, R., Ovalle, J., da Rocha, R.: Europhys. Lett. 110(4), 40003 (2015)ADSCrossRefGoogle Scholar
  32. 32.
    Bertotti, B., Iess, L., Tortora, P.: Nature 425, 374 (2003)ADSCrossRefGoogle Scholar
  33. 33.
    Cai, Y.F., Duplessis, F., Saridakis, E.N.: Phys. Rev. D 90(6), 064051 (2014)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.CCNHUniversidade Federal do ABCSanto AndréBrazil
  2. 2.Instituto de Ciencias FísicasUniversidad Nacional Autónoma de México MEXCuernavacaMexico
  3. 3.CMCCUniversidade Federal do ABCSanto AndréBrazil

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