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

  • André M. Kuerten
  • Roldão da Rocha
Research Article
  • 66 Downloads

Abstract

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.

Keywords

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

Notes

Acknowledgments

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.

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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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