Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8141869 | Physics of the Dark Universe | 2017 | 8 Pages |
Abstract
We modify the standard relativistic dispersion relation in a way which breaks Lorentz symmetry-the effect is predicted in a high-energy regime of some modern theories of quantum gravity. We show that it is possible to realise this scenario within the framework of Rainbow Gravity which introduces two new energy-dependent functions f1(E) and f2(E) into the dispersion relation. Additionally, we assume that the gravitational constant G and the cosmological constant Î also depend on energy E and introduce the scaling function h(E) in order to express this dependence. For cosmological applications we specify the functions f1 and f2 in order to fit massless particles which allows us to derive modified cosmological equations. Finally, by using Hubble+SNIa+BAO(BOSS+Lyman α)+CMB data, we constrain the energy scale ELV to be at least of the order of 1016 GeV at 1Ï which is the GUT scale or even higher 1017 GeV at 3Ï. Our claim is that this energy can be interpreted as the decoupling scale of massless particles from spacetime Lorentz violating effects.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Astronomy and Astrophysics
Authors
Nils A. Nilsson, Mariusz P. Da̧browski,