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

Jul 6, 2014
11 pages
Published in:
  • Gen.Rel.Grav. 48 (2016) 7, 90
  • Published: Jun 14, 2016
e-Print:

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Abstract: (Springer)
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.
Note:
  • 14 pages, 2 figures, to appear in Gen. Relat. Grav
  • Brane-world ccenarios
  • Black holes
  • Classical tests of general relativity
  • f(R) gravity
  • black hole: charge
  • black hole: geometry
  • gravitation: f(R)
  • general relativity
  • precession
  • photon: deflection