English

Yamabe flow, conformal gravity and spacetime foam

General Relativity and Quantum Cosmology 2008-10-23 v5 High Energy Physics - Theory Differential Geometry

Abstract

It is shown that 3D part of a spherically symmetric solution in conformal Weyl gravity interacting with Maxwell electrodynamics is a Yamabe flow as well. The Yamabe flow describes the transition from a horn of an initial wormhole to a 3D Euclidean space both filled with a radial electric field. It is supposed that such transition may describe appearing/disappearing quantum wormholes in a spacetime foam.

Keywords

Cite

@article{arxiv.0804.4722,
  title  = {Yamabe flow, conformal gravity and spacetime foam},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:0804.4722},
  year   = {2008}
}

Comments

acknowledgment is added

R2 v1 2026-06-21T10:35:52.210Z