Calculus of Variations and Geometric Measure Theory
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G. Catino - F. Belgiorno

A Weyl Entropy of Pure Spacetime Regions

created by catino on 15 May 2020


Submitted Paper

Inserted: 15 may 2020
Last Updated: 15 may 2020

Year: 2020


We focus on the Penrose's Weyl Curvature Hypothesis in a general framework encompassing many specific models discussed in literature. We introduce a candidate density for the Weyl entropy in pure spacetime perfect fluid regions and show that it is monotonically increasing in time under very general assumptions. Then we consider the behavior of the Weyl entropy of compact regions, which is shown to be monotone in time as well under suitable hypotheses, and also maximal in correspondence with vacuum static metrics. The minimal entropy case is discussed too.


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