Journal article : Review
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
- Abstract:
- The goal 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 and 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 595.9KB, Terms of use)
-
- Publisher copy:
- 10.1007/s10714-022-03004-4
Authors
Bibliographic Details
- Publisher:
- Springer
- Journal:
- General Relativity and Gravitation More from this journal
- Volume:
- 54
- Issue:
- 11
- Article number:
- 137
- Publication date:
- 2022-10-29
- Acceptance date:
- 2022-09-26
- DOI:
- EISSN:
-
1572-9532
- ISSN:
-
0001-7701
Item Description
- Language:
-
English
- Keywords:
- Subtype:
-
Review
- Pubs id:
-
1299995
- Local pid:
-
pubs:1299995
- Deposit date:
-
2022-11-11
Terms of use
- Copyright holder:
- Crown
- Copyright date:
- 2022
- Rights statement:
- © Crown 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
Metrics
If you are the owner of this record, you can report an update to it here: Report update to this record