Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bound on the gravitational masses of stable spatially regular
  charged compact objects   In a very interesting paper, Andr\'easson has recently proved that the
gravitational mass of a spherically symmetric compact object of radius $R$ and
electric charge $Q$ is bounded from above by the relation
$\sqrt{M}\leq{{\sqrt{R}}\over{3}}+\sqrt{{{R}\over{9}}+{{Q^2}\over{3R}}}$. In
the present paper we prove that, in the dimensionless regime
${{Q}/{M}}<\sqrt{{9/8}}$, a stronger upper bound can be derived on the masses
of physically realistic ({\it stable}) self-gravitating horizonless compact
objects: $M<{{R}\over{3}}+{{2Q^2}\over{3R}}$.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an