Redshift and lateshift from homogeneous and isotropic modified dispersion relations

Observables which would indicate a modified vacuum dispersion relations, possibly caused by quantum gravity effects, are a four momentum dependence of the cosmological redshift and the existence of a so called lateshift effect for massless or very light particles. Existence or non-existence of the l...

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Main Author: Christian Pfeifer
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318302065
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author Christian Pfeifer
author_facet Christian Pfeifer
author_sort Christian Pfeifer
collection DOAJ
description Observables which would indicate a modified vacuum dispersion relations, possibly caused by quantum gravity effects, are a four momentum dependence of the cosmological redshift and the existence of a so called lateshift effect for massless or very light particles. Existence or non-existence of the latter is currently analyzed on the basis of the available observational data from gamma-ray bursts and compared to predictions of specific modified dispersion relation models. We consider the most general perturbation of the general relativistic dispersion relation of freely falling particles on homogeneous and isotropic spacetimes and derive the red- and lateshift to first order in the perturbation. Our result generalizes the existing formulae in the literature and we find that there exist modified dispersion relations causing both, one or none of the two effects to first order. Keywords: Quantum gravity phenomenology, Lateshift, Modified dispersion relation, Lorentz invariance violations
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spelling doaj.art-e0c54120559840d6a98ea1b2738434e02022-12-22T02:55:34ZengElsevierPhysics Letters B0370-26932018-05-01780246250Redshift and lateshift from homogeneous and isotropic modified dispersion relationsChristian Pfeifer0Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, EstoniaObservables which would indicate a modified vacuum dispersion relations, possibly caused by quantum gravity effects, are a four momentum dependence of the cosmological redshift and the existence of a so called lateshift effect for massless or very light particles. Existence or non-existence of the latter is currently analyzed on the basis of the available observational data from gamma-ray bursts and compared to predictions of specific modified dispersion relation models. We consider the most general perturbation of the general relativistic dispersion relation of freely falling particles on homogeneous and isotropic spacetimes and derive the red- and lateshift to first order in the perturbation. Our result generalizes the existing formulae in the literature and we find that there exist modified dispersion relations causing both, one or none of the two effects to first order. Keywords: Quantum gravity phenomenology, Lateshift, Modified dispersion relation, Lorentz invariance violationshttp://www.sciencedirect.com/science/article/pii/S0370269318302065
spellingShingle Christian Pfeifer
Redshift and lateshift from homogeneous and isotropic modified dispersion relations
Physics Letters B
title Redshift and lateshift from homogeneous and isotropic modified dispersion relations
title_full Redshift and lateshift from homogeneous and isotropic modified dispersion relations
title_fullStr Redshift and lateshift from homogeneous and isotropic modified dispersion relations
title_full_unstemmed Redshift and lateshift from homogeneous and isotropic modified dispersion relations
title_short Redshift and lateshift from homogeneous and isotropic modified dispersion relations
title_sort redshift and lateshift from homogeneous and isotropic modified dispersion relations
url http://www.sciencedirect.com/science/article/pii/S0370269318302065
work_keys_str_mv AT christianpfeifer redshiftandlateshiftfromhomogeneousandisotropicmodifieddispersionrelations