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Ricci Flow and Schwarzschildʹs Metric

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Preprints.org
DOI
10.20944/preprints202504.0527.v1

This paper delves into the intriguing intersection between the Ricci low and the Schwarzschild metric, focusing primarily by applying these concepts to time-dependent metrics for spherical bodies, such as stars. By exploring the dynamic nature of the Schwarzschild metric through the lens of Ricci low, we aim to provide insights into the evolving geometry of space-time surrounding massive objects. Our study seeks to enhance the understanding of how massive bodies, like stars, influence the fabric of space-time over time, potentially impacting theories of gravity and cosmology.

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