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Since Lorentz invariance plays an important role in modern physics, it is ofinterest to test the possible Lorentz invariance violation (LIV). The time-lag(the arrival time delay between light curves in different energy bands) ofGamma-ray bursts (GRBs) has been extensively used to this end. However, to ourbest knowledge, one or more particular cosmological models were assumed {\it apriori} in (almost) all of the relevant works in the literature. So, this makesthe results on LIV in those works model-dependent and hence not so robust infact. In the present work, we try to avoid this problem by using amodel-independent approach. We calculate the time delay induced by LIV with thecosmic expansion history given in terms of cosmography, without assuming anyparticular cosmological model. Then, we constrain the possible LIV with theobservational data, and find weak hints for LIV.

Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach