We hereby review a class of quantum gravitational theories based on weakly nonlocal
analytic classical actions. The most general action is characterized by two nonpolynomial …

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 …

It is well known that standard gauge theories are renormalizable in D= 4 while Einstein
gravity is renormalizable in D= 2. This is where the research in the field of two derivatives …

In this paper we study perturbatively an extension of the Stelle higher derivative gravity
involving an infinite number of derivative terms. We know that the usual quadratic action is …

We hereby introduce and extensively study a class of non-polynomial higher derivative
theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity …

One of the greatest problems of primordial inflation is that the inflationary space-time is past-
incomplete. This is mainly because Einstein's GR suffers from a space-like Big Bang …

We propose a class of multidimensional higher derivative theories of gravity without extra
real degrees of freedom besides the graviton field. The propagator shows up the usual real …

We explicitly prove that the Weyl conformal symmetry solves the black hole singularity
problem, otherwise unavoidable in a generally covariant local or non-local gravitational …

We consider non-local modifications of General Relativity given by a distortion function in
terms of the inverse of the d'Alembert operator. The inclusion of these terms is motivated by …

A bstract We hereby study exact solutions in a wide range of local higher-derivative and
weakly nonlocal gravitational theories. In particular, we give a list of exact classical solutions …