ON THE GEOMETRY OF LARGE-SCALE DISTRIBUTION OF GALAXIES - (SPONTANEOUS VIOLATION OF THE COSMOLOGICAL PRINCIPLE)

Recent observations on the distribution of galaxides in the Universe h ave revealed large-scale structures whose origin cannot be ascribed to gravitation. Therefore they might represent unexpected violations of the Cosmological Principle (stating: the spatial isotropy and uniformi ty of the Universe). Here we propose a simple model, based on a wave e quation which foresees eigenvibrations of a Robertson-Walker universe. Just one of these allows the reproduction of the main features of mos t of the observed large-scale structures. It also allows predictions o f wave structures in the distribution of galaxies at large distances w hich, if observed (or not), could represent a proof (or a disproof) of the model. In this case the observed structures would represent a nat ural violation of the Cosmological Principle: one of those is well kno wn in physics with the name spontaneous,, symmetry breaking. Some poss ible further consequences of the model are shortly outlined.