Masking singularities in Weyl gravity and Ricci flows
Dzhunushaliev V. Folomeev V.
May 2021Springer Science and Business Media Deutschland GmbH
European Physical Journal C
2021#81Issue 5
Within vacuum Weyl gravity, we obtain a solution by which, using different choices of the conformal factor, we derive metrics describing (i) a bounce of the universe; (ii) toroidal and spherical wormholes; and (iii) a change in metric signature. It is demonstrated that singularities occurring in these systems are “masked”. We give a simple explanation of the possibility of masking the singularities within Weyl gravity. It is shown that in the first and third cases the three-dimensional metrics form Ricci flows. The question of the possible applicability of conformal Weyl gravity as some phenomenological theory in an approximate description of quantum gravity is discussed.
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Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Nuclear Physics, Almaty, 050032, Kazakhstan
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek, 720071, Kyrgyzstan
International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, 634050, Russian Federation
Department of Theoretical and Nuclear Physics
Institute of Nuclear Physics
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic
International Laboratory for Theoretical Cosmology
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