**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 m_{0}
but charges of equal modulus and opposite signs when compared to particles)and unlike the Reissner-Nordstrom
Metric the terms G/(c^{4}) 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.

**Download:** **PDF**

[v1] 20 Dec 2009

[v2] 12 Mar 2010

**Unique-IP document downloads:** 233 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *