General Relativity and the Ricci Flow

Published 2 Sep 2022 in gr-qc | (2209.00952v1)

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.

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Mohammed Alzain

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