Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and the Gauge Problem in Non-Perturbative Cosmology   In this paper, we describe the first steps towards fully non-perturbative
cosmology. We explain why the conventional methods used by cosmologists based
on the ADM formulation are generally inadequate for this purpose and why it is
advantageous instead to adapt the harmonic formulation pioneered and utilized
in mathematical and numerical relativity. Here we focus on using this approach
to evaluating the linear mode stability in homogeneous and nearly homogeneous
backgrounds and devising a valid scheme and diagnostics for numerical
computation. We also briefly touch on the relevance of these methods for
extracting cosmological observables from non-perturbative simulations.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat