Published Paper

Inserted: 28 apr 2022
Last Updated: 29 oct 2022

Journal: General Relativity and Gravitation
Year: 2022
Doi: 10.1007/s10714-022-03004-4

Abstract:

The scope of this survey is to give a self-contained introduction to synthetic timelike Ricci curvature bounds for (possibly non-smooth) Lorentzian spaces via optimal transport & entropy tools, including a synthetic version of Hawking’s singularity theorem and a synthetic characterisation of Einstein’s vacuum equations. We will also discuss some motivations arising from the smooth world and some possible directions for future research.

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