English

General Relativity and the Ricci Flow

General Relativity and Quantum Cosmology 2022-09-05 v1

Abstract

In Riemannian geometry, the Ricci flow is the analogue of heat diffusion; a deformation of the metric tensor driven by its Ricci curvature. As a step towards resolving the problem of time in quantum gravity, we attempt to merge the Ricci flow equation with the Hamilton-Jacobi equation for general relativity.

Keywords

Cite

@article{arxiv.2209.00952,
  title  = {General Relativity and the Ricci Flow},
  author = {Mohammed Alzain},
  journal= {arXiv preprint arXiv:2209.00952},
  year   = {2022}
}
R2 v1 2026-06-28T00:37:42.108Z