Journal article
An optimal transport formulation of the Einstein equations of general relativity
- Abstract:
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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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- Files:
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(Accepted manuscript, 606.0KB)
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- Publisher copy:
- 10.4171/JEMS/1188
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Authors
Bibliographic Details
- 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:
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1435-9863
- ISSN:
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1435-9855
- Source identifiers:
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1061622
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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pubs:1061622
- UUID:
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uuid:085c07ed-4c21-4808-85cc-8811abcb3eac
- Local pid:
- pubs:1061622
- Deposit date:
- 2019-10-11
Terms of use
- Copyright holder:
- EMS Press
- Copyright date:
- 2022
- Rights statement:
- © 2022 EMS Press.
- Notes:
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This is the accepted manuscript version of the article. The final version is available from EMS Press at https://doi.org/10.4171/JEMS/1188
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