Study of the concordance of a matter-antimatter symmetric Dirac-Milne Universe

This thesis is devoted to the study of the Dirac-Milne Universe, a cosmological model in which matter and antimatter are present in equal quantities and where antimatter, as suggested by general relativity through the properties of the Kerr-Newman solutions, is supposed to have a negative active gravitational mass. Supposing such hypothesis removes the necessity to invoke inflation, Dark Energy and Dark matter as mandatory components. Matter (with positive mass) and antimatter (with negative mass) being present in equal quantities, the scale factor evolves linearly with time. After a short summary of basic properties of standard cosmology, some consequences of this linear evolution are studied. The full study of primordial nucleosynthesis within the framework of the Dirac-Milne universe reveals that deuterium can be produced by residual annihilations between matter and antimatter shortly before recombination. Even though Dirac-Milne universe does not present any recent acceleration of the expansion, it is shown that this model is in good agreement with the cosmological test of type Ia supernovae. It is also shown that the position of the acoustic scale of the Cosmic Microwave Background (CMB) naturally appears at the degree scale. The full study of the CMB spectrum and the coherence of the notion of negative mass remain to be investigated, but this work exhibits a original model that could potentially give an alternative description of our Universe. (author)