Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The relation between stellar mass and weak lensing signal around
  galaxies: Implications for MOND   We study the amplitude of the weak gravitational lensing signal as a function
of stellar mass around a sample of relatively isolated galaxies. This selection
of lenses simplifies the interpretation of the observations, which consist of
data from the Red- sequence Cluster Survey and the Sloan Digital Sky Survey. We
find that the amplitude of the lensing signal as a function of stellar mass is
well described by a power law with a best fit slope \alpha= 0.74 \pm 0.08. This
result is inconsistent with Modified Newtonian Dynamics, which predicts \alpha
= 0.5 (we find \alpha > 0.5 with 99.7% confidence). As a related test, we
determine the MOND mass-to-light ratio as a function of luminosity. Our results
require dark matter for the most luminous galaxies (L >=10^11 L_sun). We rule
out an extended halo of gas or active neutrinos as a way of reconciling our
findings with MOND. Although we focus on a single alternative gravity model, we
note that our results provide an important test for any alternative theory of
gravity.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg