Gamma Ray Bursts, The Principle of Relative Locality and Connection Normal Coordinates
arXiv:1201.1255
Abstract
The launch of the Fermi telescope in 2008 opened up the possibility of measuring the energy dependence of the speed of light by considering the time delay in the arrival of gamma ray bursts emitted simultaneously from very distant sources.The expected time delay between the arrival of gamma rays of significantly different energies as predicted by the framework of relative locality has already been calculated in Riemann normal coordinates. In the following, we calculate the time delay in more generality and then specialize to the connection normal coordinate system as a check that the results are coordinate independent. We also show that this result does not depend on the presence of torsion.
20 pages, 1 figure. Essay submitted as partial fulfillment of the requirements for the degree of masters of science, University of Waterloo/Perimeter Institute of Theoretical Physics. arXiv admin note: text overlap with arXiv:1103.5626 by other authors
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