Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new point of view on the solutions to the Einstein constraint
  equations with arbitrary mean curvature and small TT-tensor   In this short note, we give a construction of solutions to the Einstein
constraint equations using the well known conformal method. Our method gives a
result similar to the one in [15, 16, 24], namely existence when the so called
TT-tensor $\sigma$ is small and the Yamabe invariant of the manifold is
positive. The method we describe is however much simpler than the original
method and allows easy extensions to several other problems. Some non-existence
results are also considered.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol