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Linearized Five Dimensional Kaluza-Klein Theory as a Gauge Theory

G. Atondo-Rubio·J. A. Nieto·L. Ruiz·J. Silvas
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Abstract

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.

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G. Atondo-Rubio, J. A. Nieto, L. Ruiz, J. Silvas. 2006-09-19. Linearized Five Dimensional Kaluza-Klein Theory as a Gauge Theory. https://arxiv.org/abs/hep-th/0609133

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