The dawn of the twenty-first century came with very positive prospects for gravity, cosmology,
and astrophysics. Technological progress made it possible for cosmology to enter to its …

The status of multifractional theories is reviewed using comparative tables. Theoretical
foundations, classical matter and gravity dynamics, cosmology and experimental constraints …

Even if the fundamental action of gravity is local, the corresponding quantum effective action,
that includes the effect of quantum fluctuations, is a nonlocal object. These nonlocalities are …

A generalized version for the Rastall theory is proposed showing the agreement with the
cosmic accelerating expansion. In this regard, a coupling between geometry and the …

Following the same steps made for a scalar field in a parallel publication, we propose a
class of perturbative theories of quantum gravity based on fractional operators, where the …

We provide a systematic and updated discussion of a research line carried out by our group
over the last few years, in which gravity is modified at cosmological distances by the …

We study the impact of the limit on| Ġ|/G from Lunar Laser Ranging on" nonlocal gravity", ie
on models of the quantum effective action of gravity that include nonlocal terms relevant in …

We present a comprehensive and updated comparison with cosmological observations of
two non-local modifications of gravity previously introduced by our group, the so called RR …

We review an approach developed in the last few years by our group in which GR is
modified in the infrared, at an effective level, by nonlocal terms associated to a mass scale …

Starting from a parametrization of the quantum effective action for gravity, we calculate
correlation functions for observable quantities. The resulting templates allow us to reverse …