Masking singularities in Weyl gravity and Ricci flows

Abstract

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.

arXiv comment10 pages

References in corpus (20)

• Super-renormalizable & Finite Gravitational Theories
• Einstein Gravity from Conformal Gravity
• Agravity up to infinite energy
• Spacetime completeness of non-singular black holes in conformal gravity
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Fourth order Weyl gravity
• From conformal to Einstein Gravity
• Fitting dwarf galaxy rotation curves with conformal gravity
• Concentric circles in WMAP data may provide evidence of violent pre-Big-Bang activity
• Conformal Symmetry in Field Theory and in Quantum Gravity
• Wormholes in conformal gravity
• Gravity as the breakdown of conformal invariance
• Topologically Massive Gravity and Ricci-Cotton Flow
• Finite conformal quantum gravity and spacetime singularities
• Ricci Flow Gravity
• Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
• Dark side of Weyl gravity
• Perelman's Ricci Flow in Topological Quantum Gravity
• Spinor field solutions in $F\left(B^2\right)$ modified Weyl gravity
• Quantum wormhole as a Ricci flow

Cited by in corpus (1)

• On the Ghost Problem of Conformal Gravity