Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified gravity inside astrophysical bodies   Many theories of modified gravity, including the well studied Horndeski
models, are characterized by a screening mechanism that ensures that standard
gravity is recovered near astrophysical bodies. In a recently introduced class
of gravitational theories that goes beyond Horndeski, it has been found that
new derivative interactions lead to a partial breaking of the Vainshtein
screening mechanism inside any gravitational source, although not outside. We
study the impact of this new type of deviation from standard gravity on the
density profile of a spherically symmetric matter distribution, in the
nonrelativistic limit. For simplicity, we consider a polytropic equation of
state and derive the modifications to the standard Lane-Emden equations. We
also show the existence of a universal upper bound on the amplitude of this
type of modified gravity, independently of the details of the equation of
state.

36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga