Observables from spherically symmetric modified dispersion relations

authored by: Dagmar Laanemets, Manuel Hohmann, Christian Pfeifer
Abstract: In this work, we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first-order modification of the general relativistic dispersion relation as well as subject to the κ-Poincaré dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the black hole shadow, the and the light deflection and identify the additional dependence of these observables on the photons' four momentum, which leads to measurable effects that can be compared to experimental data. The results presented here can be interpreted in two ways, depending on the origin of the modified dispersion relation: on the one hand as prediction for traces of quantum gravity, when the modified dispersion relation is induced by phenomenological approaches to quantum gravity, on the other hand as predictions of observables due to the presence of a medium, like a plasma, which modifies the dispersion relation of light on curved spacetimes.
External Organisation(s): Center of Applied Space Technology and Microgravity (ZARM)
Type: Article
Journal: International Journal of Geometric Methods in Modern Physics
Volume: 19
ISSN: 0219-8878
Publication date: 15.09.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.1142/S0219887822501559 (Access: Unknown)

BibTeX

@article{233a345f3430411d8138aa5af4d80518,
title = "Observables from spherically symmetric modified dispersion relations",
abstract = "In this work, we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first-order modification of the general relativistic dispersion relation as well as subject to the κ-Poincar{\'e} dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the black hole shadow, the and the light deflection and identify the additional dependence of these observables on the photons' four momentum, which leads to measurable effects that can be compared to experimental data. The results presented here can be interpreted in two ways, depending on the origin of the modified dispersion relation: on the one hand as prediction for traces of quantum gravity, when the modified dispersion relation is induced by phenomenological approaches to quantum gravity, on the other hand as predictions of observables due to the presence of a medium, like a plasma, which modifies the dispersion relation of light on curved spacetimes.",
keywords = "Modified dispersion relations, quantum gravity phenomenology, spherical symmetry, Shapiro delay, black hole shadow, light deflection",
author = "Dagmar Laanemets and Manuel Hohmann and Christian Pfeifer",
note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",
year = "2022",
month = sep,
day = "15",
doi = "10.1142/S0219887822501559",
language = "English",
volume = "19",
journal = "International Journal of Geometric Methods in Modern Physics",
issn = "0219-8878",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "10",
}