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 …

The article contains a systematic presentation of the covariant diagrammatic technique for
the effective action in gauge theories. The Schwinger-DeWitt technique is generalized and …

We discuss static spherically symmetric metrics which represent nonsingular black holes in
four-and higher-dimensional spacetime. We impose a set of restrictions, such as a regularity …

Regular (nonsingular) space-times are given that describe the formation of a (locally
defined) black hole from an initial vacuum region, its quiescence as a static region, and its …

While singularities are inevitable in the classical theory of general relativity, it is commonly
believed that they will not be present when quantum gravity effects are taken into account in …

In part one of Effective Action in Quantum Gravity, the book describes the principles of
quantum field theory and the significance of and theory behind effective action. Part two …

Astrophysical black hole candidates are thought to be the Kerr black holes of general
relativity, but there is not yet direct observational evidence that the spacetime geometry …

This article discusses the intimate relationship between quantum mechanics, information
theory, and relativity theory. Taken together these are the foundations of present-day …

We investigate the weak and strong deflection gravitational lensing by a black-bounce-
Reissner–Nordström spacetime and obtain their lensing observables. Assuming the …

We show that there is a classical metric satisfying the Einstein equations outside a finite
spacetime region where matter collapses into a black hole and then emerges from a white …