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An optimal transport formulation of the Einstein equations of general relativity

Abstract:

The goal of the paper is to give an optimal transport formulation of the full Einstein equations of general relativity, linking the (Ricci) curvature of a space-time with the cosmological constant and the energy-momentum tensor. Such an optimal transport formulation is in terms of convexity/concavity properties of the Boltzmann–Shannon entropy along curves of probability measures extremizing suitable optimal transport costs. The result gives a new connection between general relativity and opt...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4171/JEMS/1188

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hilda's College
Role:
Author
ORCID:
0000-0002-1932-7148
Publisher:
European Mathematical Society Publisher's website
Journal:
Journal of the European Mathematical Society Journal website
Publication date:
2022-01-14
Acceptance date:
2021-07-04
DOI:
EISSN:
1435-9863
ISSN:
1435-9855
Source identifiers:
1061622
Language:
English
Keywords:
Pubs id:
pubs:1061622
UUID:
uuid:085c07ed-4c21-4808-85cc-8811abcb3eac
Local pid:
pubs:1061622
Deposit date:
2019-10-11

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