http://arxiv.org/abs/2305.06504
Putting constraints on a possible Lorentz Invariance Violation (LIV) from astrophysical sources such as gamma-ray bursts (GRBs) is an essential tool for finding evidences of new theories of quantum gravity (QG) that predict energy-dependent speed of light. Such a search has its own difficulties, so usually, the effect of the cosmological model is understudied and the default model is a fixed-parameters $\Lambda$CDM. In this work, we use different astrophysical datasets to study the effect of a number of dark energy models on the LIV constrains. To this end, we combine two public time-delay GRB datasets with the supernovae Pantheon dataset, a number of angular baryonic acoustic oscillations (BAO), the cosmic microwave background (CMB) distance prior and a GRB or quasars dataset. We find for $\alpha$ the expected average value of $\sim 4 \times 10^{-4}$, corresponding to $E_{QG}\ge 10^{17}$ GeV for both time-delay (TD) datasets, with the second one being more sensitive to the cosmological model. We find that the cosmology amounts to at least 20\% deviation in our constraints on the energy. Also interestingly, adding the TD points makes the DE models less-preferable statistically and shifts the value of the parameter $c/(H_0 r_d)$ down, making it smaller than the expected value. We see that possible LIV measurements depend critically on the transparency of the assumptions behind the published data with respect to cosmology and that taking it into account may be important contribution in the case of possible detection.
D. Staicova
Fri, 12 May 23
26/53
Comments: 19 pages, prepared for the Classical and Quantum Gravity focus issue “Focus on Quantum Gravity Phenomenology in the Multi-Messenger Era: Challenges and Perspectives”