Authors: Fernando Loup
If the Universe have more than 4 Dimensions then its Extra Dimensional Nature generates in our 4D Spacetime a projection of a 5D Bulk Weyl Tensor. We demonstrate that this happens not only in the Randall-Sundrum BraneWorld Model where this idea appeared first (developed by Shiromizu, Maeda and Sasaki)but also occurs in the Kaluza-Klein 5D Induced Matter Formalism.As a matter of fact this 5D Bulk Weyl Tensor appears in every Extra Dimensional Formalism (eg Basini-Capozziello-Wesson-Overduin Dimensional Reduction From 5D to 4D) because this Bulk Weyl tensor is being generated by the Extra Dimensional Nature of the Universe regardless and independently of the Mathematical Formalism used and the Dimensional Reduction From 5D to 4D of the Einstein and Ricci Tensors in both Kaluza-Klein and Randall-Sundrum Formalisms are similar.Also as in the Randall-Sundrum Model this 5D Bulk Weyl Tensor generates in the Kaluza-Klein formalism a Tidal "Electric" Charge "seen" in 4D as an Extra Term in the Schwarzschild Metric resembling the Reissner-Nordstrom Metric. We analyze the Gravitational Bending Of Light in this BraneWorld Black Hole Metric(known as the Dadhich,Maartens,Papadopolous and Rezania) affected by an Extra Term due to the presence of the Tidal Charge compared to the Bending Of Light in the Reissner-Nordstrom Metric with the Electric Charge also being generated by the Extra Dimension in agreement with the point of view of Ponce De Leon (explaining in the generation process how and why antiparticles have the same rest mass m0 but charges of equal modulus and opposite signs when compared to particles)and unlike the Reissner-Nordstrom Metric the terms G/(c4) do not appear in the Tidal Charge Extra Term.Thereby we conclude that the Extra Term produced by the Tidal Charge in the Bending Of Light due to the presence of the Extra Dimensions is more suitable to be detected than its Reissner-Nordstrom counterpart and this line of reason is one of the best approaches to test the Higher Dimensional Nature of the Universe and we describe a possible experiment using Artificial Satellites and the rotating BraneWorld Black Hole Metric to do so
Comments: 86 Pages. Titles in the headers of the sections rewritten in a more conventional way.
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