Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry and dynamics of the brane-world   Recent developments in string theory have led to 5-dimensional warped
spacetime models in which standard-model fields are confined to a 3-brane (the
observed universe), while gravity can propagate in the fifth dimension. Gravity
is localized near the brane at low energies, even if the extra dimension is
noncompact. A review is given of the classical geometry and dynamics of these
brane-world models. The field equations on the brane modify the general
relativity equations in two ways: local 5-D effects are imprinted on the brane
as a result of its embedding, and are significant at high energies; nonlocal
effects arise from the 5-D Weyl tensor. The Weyl tensor transmits tidal
(Coulomb), gravitomagnetic and gravitational wave effects to the brane from the
5-D nonlocal gravitational field. Local high-energy effects modify the dynamics
of inflation, and increase the amplitude of scalar and tensor perturbations
generated by inflation. Nonlocal effects introduce new features in cosmological
perturbations. They induce a non-adiabatic mode in scalar perturbations and
massive modes in vector and tensor perturbations, and they can support vector
perturbations even in the absence of matter vorticity. In astrophysics, local
and nonlocal effects introduce fundamental changes to gravitational collapse
and black hole solutions.

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The categories of this paper are: cs
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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol