Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions to the Einstein-scalar field constraint equations with a small
  TT-tensor   In this paper, we prove a far-from-CMC result similar to the ones obtained by
Holst, Nagy, Tsogtgerel and Maxwell for the conformal Einstein-scalar field
constraint equations on compact Riemannian manifolds with positive (modified)
Yamabe invariant.

34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int