Linearized Five Dimensional Kaluza-Klein Theory as a Gauge Theory
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We develop a linearized five dimensional Kaluza-Klein theory as a gauge theory. By perturbing the metric around flat and the De Sitter backgrounds, we first discuss linearized gravity as a gauge theory in any dimension. In the particular case of five dimensions, we show that using the Kaluza-Klein mechanism, the field equations of our approach implies both linearized gauge gravity and Maxwell theory in flat and the De Sitter scenarios. As a possible further development of our formalism, we also discuss an application in the context of a gravitational polarization scattering by means of the analogue of the Mueller matrix in optical polarization algebra. We argue that this application can be of particular interest in gravitational waves experiments.
16 pages, Latex
16 pages, Latex