General Relativity and the Ricci Flow [article]

Mohammed Alzain
2022 arXiv   pre-print
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.
arXiv:2209.00952v1 fatcat:nskl2evwxja3fmoxpqd4m2yqwa