Hitchhiker's Guide tpRicci Flow in Cosmology

Abstract

We explore Ricci Flow and properties of the reduced Perelman’s W-function near collapse conditionsfor the following spherically symmetric cosmological spacetime geometries: FLRW, Schwarzschild, G¨odel,Kerr, and de Sitter. Though not a spherically symmetric spacetime, we also examine Ricci flow collapse conditions of the torus. This study provides the first visual proofs of Ricci flow with surgery on Kerr and Schwarzschild black holes

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