Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some constraints for the extensions of the degenerate Ferrari and Ibanez
  solution   There exist two extensions to the interaction region of the Ferrari and
Ibanez solution. However, no one gives the corresponding conditions for each
extension. To solve this problem, we have introduced quantum effects to
constrain these extensions and given the corresponding conditions. By
calculation, the Schwarzschild black hole can form after gravitational waves
colliding whose expected energy is small.

27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph