Dispersion relations in $\kappa$-noncommutative cosmology - INSPIRE

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Dispersion relations in $\kappa$ -noncommutative cosmology

Paolo Aschieri
(
- Piemonte Orientale U., Alessandria and
- INFN, Turin and
- Turin U.
)
,
Andrzej Borowiec
(
- Wroclaw U.
)
,
Anna Pacho
(
- Queen Mary, U. of London
)

Sep 2, 2020

20 pages

Published in:

JCAP 04 (2021) 025

Published: Apr 9, 2021

e-Print:

2009.01051 [gr-qc]

DOI:

10.1088/1475-7516/2021/04/025

View in:

reference search17 citations

Citations per year

Abstract: (IOP)

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 κ-Minkowski spacetime in flat space — in the presence of a Friedman-Lemaître-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.

Note:

20 pages. New version: 23 pages, added 4-dim. dispersion relations and numerical estimates

differential geometry: noncommutative
deformation: noncommutative
deformation: twist
violation: Lorentz
photon: energy
photon: velocity
background
dispersion relation
space-time: Minkowski
cosmological model

References(32)

Figures(0)

Seminars

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