The heat kernel expansion is a very convenient tool for studying one-loop divergences,
anomalies and various asymptotics of the effective action. The aim of this report is to collect …

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 …

We present analytic stationary and axially symmetric black hole solutions to the
semiclassical Einstein equations that are sourced by the trace anomaly. We also find …

We propose a new approach for using the AdS/CFT correspondence to study quantum black
hole physics. The black holes on a brane in an AdS D+ 1 braneworld that solve the classical …

We present a brief, and to a great extent, pedagogical, review on renormalization in curved
spacetime and some recent results on the derivation and better understanding of quantum …

The asymptotic safety scenario in quantum gravity is reviewed, according to which a
renormalizable quantum theory of the gravitational field is feasible which reconciles …

We present an approach to the problem of vacuum energy in cosmology, based on
dynamical screening of Λ on the horizon scale. We review first the physical basis of vacuum …

The low energy effective action of gravity in any even dimension generally acquires nonlocal
terms associated with the trace anomaly, generated by the quantum fluctuations of massless …

A new scenario for gravitational collapse has been recently proposed by Haggard and
Rovelli. Presenting the model under the name of black hole fireworks, they claim that the …

General Relativity receives quantum corrections relevant at macroscopic distance scales
and near event horizons. These arise from the conformal scalar degrees of freedom in the …