The exploration of the universe has recently entered a new era thanks to the multi-
messenger paradigm, characterized by a continuous increase in the quantity and quality of …

We review many quantum aspects of torsion theory and discuss the possibility of the space–
time torsion to exist and to be detected. The paper starts, in Section 2, with a pedagogical …

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 …

This book covers recent developments in the covariant formulation of quantum gravity.
Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to …

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 …

We calculate quantum gravitational corrections to the entropy of black holes using the Wald
entropy formula within an effective field theory approach to quantum gravity. The corrections …

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 …

We suggest and briefly review a new sort of superrenormalizable models of higher
derivative quantum gravity. The higher derivative terms in the action can be introduced in …

A bstract The R+ R 2, shortly named “R 2”(“Starobinsky”) inflationary model, represents a
fully consistent example of a one-parameter inflationary scenario. This model has a “graceful …