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arXiv · 1807.02731

Lorentzian Einstein-Ricci Flows

Aditya Dhumuntarao
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Abstract

We study the Ricci flow for the Lorentzian Einstein-Hilbert action. We show that Einstein gravity emerges as a fixed point of the Einstein-Ricci flow equations and derive a renormalization group flow in Euclidean signature. By considering linearizations near the fixed point, the dynamics of the metric reveal that curvature deformations flow according to a forward heat equation with the stress-energy tensor acting as a source.

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Aditya Dhumuntarao. 2018-07-08. Lorentzian Einstein-Ricci Flows. https://arxiv.org/abs/1807.02731

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