Regular Article - Theoretical Physics
Masking singularities in Weyl gravity and Ricci flows
Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan
2 Institute of Nuclear Physics, 050032, Almaty, Kazakhstan
3 Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, 720071, Bishkek, Kyrgyzstan
4 International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
Accepted: 25 April 2021
Published online: 4 May 2021
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.
© The Author(s) 2021
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