Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dark Energy and Non-linear Perturbations   Dark energy might have an influence on the formation of non--linear
structures during the cosmic history. For example, in models in which dark
energy couples to dark matter, it will be non--homogeneous and will influence
the collapse of a dark matter overdensity. We use the spherical collapse model
to estimate how much influence dark energy might have.

13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
18
The categories of this paper are: econ