Observables from spherically symmetric modified dispersion relations

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 kappa-Poincare 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.

Automated summary

In this work, the observable effects of modified dispersion relations are studied systematically. The motion of test particles and the corrections to various observables for light are investigated. The results can be interpreted as predictions for quantum gravity or as predictions of observables in the presence of a medium that modifies the dispersion relation of light.