Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological Background torsion limits from Lorentz violation   Cosmological limits on Lorentz invariance breaking in Chern-Simons
$(3+1)-dimensional$ electrodynamics are used to place limits on torsion.
Birefrigence phenomena is discussed by using extending the propagation equation
to Riemann-Cartan spacetimes instead of treating it in purely Riemannian
spaces. The parameter of Lorentz violation is shown to be proportional to the
axial torsion vector which allows us to place a limit on cosmological
background torsion from the Lorentz violation constraint which is given by $
10^{-33} eV <|S^{\mu}| < 10^{-32} eV$ where $|S^{\mu}|$ is the axial torsion
vector.

33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th