The radion and the perturbative metric in RS1

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, no figures, LaTeX, typos fixed, 1 reference added

Scientific paper

10.1142/S0217732304012435

We calculate the linearized metric perturbations in the five dimensional two-brane model of Randall and Sundrum. In a carefully chosen gauge, we write down and decouple Einstein equations for the perturbations and get the final and simple perturbative metric ansatz. This ansatz turns out to be equal to the linear expansion of the metric solution of Charmousis et al. \cite{rubakov}. We show that this ansatz, the metric ansatz of Boos et al. \cite{boos} and the one of Das and Mitov \cite{das} are not incompatible, as it appears on the surface, but completely equivalent by an allowed gauge transformation that we give.

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