Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A study of gravitational collapse with decaying of the vacuum energy   We study the gravitational collapse of a dust dark matter star in a
$\Lambda$-background. We consider two distinct cases: First we do not have a
dark matter and dark energy coupling; second, we consider that $\Lambda $ decay
in dark particles. The approach adopted assumes a modified matter expansion
rate and we have formation of a black hole, since that, we have the formation
of an apparent horizon. A brief comparison of the process of the matter
condensation using the gravitational collapse approach and the linear scalar
perturbation theory is considered.

9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph