Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second order solutions of cosmological perturbation in the matter
  dominated era   We present the growing mode solutions of cosmological perturbations to the
second order in the matter dominated era. We also present several
gauge-invariant combinations of perturbation variables to the second order in
most general fluid context. Based on the solutions we study the Newtonian
correspondence of relativistic perturbations to the second order. In addition
to the previously known exact relativistic/Newtonian correspondence of density
and velocity perturbations to the second order in the comoving gauge, here we
show that in the sub-horizon limit we have the correspondences for density,
velocity and potential perturbations in the zero-shear gauge and in the
uniform-expansion gauge to the second order. Density perturbation in the
uniform curvature gauge also shows the correspondence to the second order in
the sub-horizon scale. We also identify the relativistic gravitational
potential which shows exact correspondence to the Newtonian one to the second
order.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex