Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Astrophysical and cosmological constraints on a scale-dependent
  gravitational coupling   We study the phenomenological consequences of the recently proposed idea of a
running gravitational coupling on macroscopic scales. When applied to the
rotation curves of galaxies, we find that their flatness requires the presence
of baryonic dark matter. Bounds on the variation of the gravitational coupling
from primordial nucleosynthesis and the change of the period of binary pulsars
are analysed. We also study constraints on the variations of $G$ with scale
from gravitational lensing and the cosmic virial theorem, as well as briefly
discuss the implications of such a scenario for structure formation.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph