München 2019 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Quantengravitation (joint session MP/GR)

MP 9.3: Vortrag

Mittwoch, 20. März 2019, 18:10–18:30, HS 4

Quantum Gravity Phenomenology: Modified dispersion relations on curved spacetimes - circular orbits and time delays — •Christian Pfeifer — University of Tartu, Tartu, Estonia

The Hamiltonian formulation of modified dispersion relations allows for their implementation on generic curved spacetimes, and thus enables us to derive effective quantum gravity corrections to the behaviour of probe particles.

In this talk I will consider general first order perturbation of the general relativistic dispersion relation on Schwarzschild and Friedmann-Lemaitre-Robertson-Walker spacetime. For the Schwarzschild case I present the correction to the innermost circular photon orbits; for the FLRW case general I discuss corrections to the cosmological redshift, and the emerging time delay in the time of arrival of simultaneously emitted photons. These results extend existing analyses which consider particularly chosen modified dispersion relations and usually neglect curved spacetime effects. Compared to the predictions of general relativity, the dependence of the observables on the four momentum of the particle is increased. This signature is in principle detectable in observations with instruments of sufficient sensitivity, for example in the shadows of black holes and the time of arrival measurements of high energetic photons from gamma ray bursts.