Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild
  spacetimes (I): Construction   We solve spacelike spherically symmetric constant mean curvature (SS-CMC)
hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior
near the coordinate singularity r = 2M. Furthermore, we join SS-CMC
hypersurfaces in the Kruskal extension to obtain complete ones and discuss the
smooth properties.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat