Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian theory of structure formation in relativistic cosmology III:
  gravitoelectric perturbation and solution schemes at any order   The relativistic generalization of the Newtonian Lagrangian perturbation
theory is investigated. In previous works, the first-order trace solutions that
are generated by the spatially projected gravitoelectric part of the Weyl
tensor were given together with extensions and applications for accessing the
nonperturbative regime. We furnish here construction rules to obtain from
Newtonian solutions the gravitoelectric class of relativistic solutions, for
which we give the complete perturbation and solution schemes at any order of
the perturbations. By construction, these schemes generalize the complete
hierarchy of solutions of the Newtonian Lagrangian perturbation theory.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio