Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersion Relations in $\kappa$-Noncommutative Cosmology   We study noncommutative deformations of the wave equation in curved
backgrounds and discuss the modification of the dispersion relations due to
noncommutativity combined with curvature of spacetime. Our noncommutative
differential geometry approach is based on Drinfeld twist deformation, and can
be implemented for any twist and any curved background. We discuss in detail
the Jordanian twist $-$giving $\kappa$-Minkowski spacetime in flat space$-$ in
the presence of a Friedman-Lema\^{i}tre-Robertson-Walker (FLRW) cosmological
background. We obtain a new expression for the variation of the speed of light,
depending linearly on the ratio $E_{ph}/E_{LV}$ (photon energy / Lorentz
violation scale), but also linearly on the cosmological time, the Hubble
parameter and inversely proportional to the scale factor.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics