Fractality in cosmic topology models with spectral action gravity

Abstract We consider cosmological models based on the spectral action formulation of (modified) gravity. analyze coupled effects, in this model, presence nontrivial cosmic topology and fractality large scale structure spacetime. show that constrains possible fractal structures, turn correction terms to due distinguish various candidates, with effects detectable a slow-roll inflation scenario, through power spectra scalar tensor fluctuations. also discuss explicit structures gravitational waves equations.