Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
arXiv:1407.1483
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 and to constrain the parameter that arises from the Shiromizu-Maeda-Sasaki procedure applied to a f(R) bulk as well. The existing Solar system observational data constrain the possible values of the tidal charge parameter and the effective cosmological constant including f(R) brane world effects. We show that the observational/experimental data for both perihelion precession and radar echo delay make the black hole space of parameters to be more strict than the ones for the Dadhich, Maartens, Papadopoulos and Rezania (DMPR) black hole geometry. Furthermore, the deflection of light constrains the tidal charge parameter similarly as the DMPR black holes due to a peculiarity in the equation of motion.
14 pages, 2 figures, to appear in Gen. Relat. Grav
References in corpus (9)
- The Confrontation between General Relativity and Experiment
- Tolman IV solution in the Randall-Sundrum Braneworld
- The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
- Analysis of Rotation Curves in the framework of R^n gravity
- Brane-world cosmology with black strings
- Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
- Stability and thermodynamics of brane black holes
- Galactic dark matter as a bulk effect on the brane
- Solar system tests of brane world models
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- Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach