Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Collapse in Repulsive $R+\mu^4/R$ Gravity   In this paper we work out collapsing conditions for a spherical star in the
weak field limit of the $R+\mu^4/R$ gravity and discuss the importance of the
parameter $\mu$ to generate different criteria in the theory. Such criteria are
proved to be resulting in a variety of different fates for the evolution of the
outer shells of stars. Furthermore, we investigate the special case of
violating the first junction condition and point out corresponding
contradictions to the normal cases. These results show that the consistency of
the $R+\mu^4/R$ theory of gravity with the common astrophysical predictions
relies highly on the adoption of the parameter $\mu$ and satisfaction/violation
of the first junction condition. For those anomalous results, further
observational attempts are mandatory.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat