Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Einstein-like theory of gravity with a non-newtonian weak-field limit   We propose a model describing Einstein gravity coupled to a scalar field with
an exponential potential. We show that the weak-field limit of the model has
static solutions given by a gravitational potential behaving for large
distances as \ln r . The Newtonian term GM/r appears only as subleading. Our
model can be used to give a phenomenological explanation of the rotation curves
of the galaxies without postulating the presence of dark matter. This can be
achieved only by giving up at galactic scales Einstein equivalence principle.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex