Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Derrick's theorem in curved spacetime   We extend Derrick's theorem to the case of a generic irrotational curved
spacetime adopting a strategy similar to the original proof. We show that a
static relativistic star made of real scalar fields is never possible
regardless of the geometrical properties of the (static) spacetimes. The
generalised theorem offers a tool that can be used to check the stability of
localised solutions of a number of types of scalar fields models as well as of
compact objects of theories of gravity with a non-minimally coupled scalar
degree of freedom.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph