Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second Order Perturbations in the Randall-Sundrum Infinite Brane-World
  Model   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.

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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex