Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-05
Phys.Rev. D64 (2001) 084022
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures, comment and reference added, typos corrected
Scientific paper
10.1103/PhysRevD.64.084022
We discuss the non-linear gravitational interactions in the Randall-Sundrum single brane model. If we naively write down the 4-dimensional effective action integrating over the fifth dimension with the aid of the decomposition with respect to eigen modes of 4-dimensional d'Alembertian, the Kaluza-Klein mode coupling seems to be ill-defined. We carefully analyze second order perturbations of the gravitational field induced on the 3-brane under the assumption of the static and axial-symmetric 5-dimensional metric. It is shown that there remains no pathological feature in the Kaluza-Klein mode coupling after the summation over all different mass modes. Furthermore, the leading Kaluza-Klein corrections are shown to be sufficiently suppressed in comparison with the leading order term which is obtained by the zero mode truncation. We confirm that the 4-dimensional Einstein gravity is approximately recovered on the 3-brane up to second order perturbations.
Kudoh Hideaki
Tanaka Takahiro
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