Emerging hyperbolic spaces and some considerations in AdS cosmology

Abstract

Recently, PNDP-manifolds have been introduced, and these have shown to be useful in applicative aspects especially in the field of cosmology, introducing a new geometric/topological approach to the concept of “emerging space”. However, the applications considered so far concern only trivial and flat PNDP-manifolds. Therefore, we show the existence of non-Ricci-flat solutions for PNDP-manifolds with positive “virtual” dimension which have hyperbolic [Formula: see text]-manifold. Based on this, we have advanced an applicative hypothesis, accompanied by some open considerations, in the context of [Formula: see text] cosmology.