Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining a possible time-variation of the speed of light along with
  the fine-structure constant using strong gravitational lensing and Type Ia
  supernovae observations   The possible time variation of the fundamental constants of nature has been
an active subject of research since the large-number hypothesis was proposed by
Dirac. In this paper, we propose a new method to investigate a possible time
variation of the speed of light ($c$) along with the fine-structure constant
($\alpha$) using Strong Gravitational Lensing (SGL) and Type Ia Supernovae (SNe
Ia) observations. We assume a general approach to describe the mass
distribution of lens-type galaxies, the one in favor of the power-law index
model (PLAW). We also consider the runaway dilaton model to describe a possible
time-variation of $\alpha$. In order to explore the results deeply, we split
the SGL sample into five sub-samples according to the lens stellar velocity
dispersion and three sub-samples according to lens redshift. The results
suggest that it is reasonable to treat the systems separately, but no strong
indication of varying $c$ was found.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat