491 citations · 2k across the 48 of their papers we have counts for
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Weyl geometry and cosmological particle creation
Victor A. Berezin, Vyacheslav I. Dokuchaev
These are lectures for students at the summer school conducted by the Faculty of Fundamental Sciences, Bauman Moscow State Technical University at 2022.
Supervisor of the Universe
Victor A. Berezin, Vyacheslav I. Dokuchaev
In this paper, conformal invariant gravitation, based on Weyl geometry, is considered. In addition to the gravitational and matter action integrals, the interaction between the Wey…
Double layer in quadratic gravity and least action principle
V. A. Berezin, V. I. Dokuchaev, Yu. N. Eroshenko +1
The Israel equations for thin shells in General Relativity are derived directly from the least action principle. The method is elaborated for obtaining the equations for double lay…
Quadratic Gravity, double layers and non-conservative energy-momentum tensor
Victor A. Berezin, Vyacheslav I. Dokuchaev, Yury N. Eroshenko +1
In the present paper we investigate the conservative conditions in Quadratic Gravity. It is shown explicitly that the Bianchi identities lead to the conservative condition of the l…
Least action principle and gravitational double layer
Victor Berezin, Vyacheslav Dokuchaev, Yury Eroshenko +1
The higher derivative gravitational theories exhibit new phenomena absent in General Relativity. One of them is the possible formation of the so called double layer which is the pu…
Spherically symmetric double layers in Weyl+Einstein gravity
Victor Berezin, Vyacheslav Dokuchaev, Yury Eroshenko
The main results are the following. We derived the matching conditions for the spherically symmetric singular hypersurface (in our case it is equivalent to the world line) in the W…