Constraints on Lorentz Invariance Violation with gamma-ray bursts via a Markov Chain Monte Carlo approach

TL;DR

This study investigates potential Lorentz Invariance Violation effects using gamma-ray burst data within various cosmological models, employing a Markov Chain Monte Carlo approach to constrain parameters and find no evidence of LIV.

Contribution

It introduces a comprehensive MCMC-based method to constrain LIV effects considering different cosmological models and combined observational data sets.

Findings

No evidence of Lorentz Invariance Violation was found.

Combined data sets improve constraints on LIV parameters.

Degeneracies among model parameters were addressed using multiple cosmological observations.

Abstract

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified dispersion relation for photons was studied in the standard cosmological context by using a sample of Gamma Ray Bursts (GRBs). In this paper we mainly discuss the possible LIV effect by using different cosmological models for the accelerating universe. Due to the degeneracies among model parameters, the GRBs' time delay data are combined with the cosmic microwave background data from the Planck first year release, the baryon acoustic oscillation data at six different redshifts, as well as Union2 type Ia supernovae data, to constrain both the model parameters and the LIV effect. We find no evidence of LIV.