Upper and lower bounds on the integrated null energy in gravity
Abstract We prove a lower bound on the integrated null energy along achronal geodesic segments using induced gravity on a brane in AdS/CFT. The bound follows from the assumption that bulk causality respects brane causality, and matches a bound recently conjectured by Freivogel and Krommydas for semi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)133 |
| _version_ | 1818573005079445504 |
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| author | Stefan Leichenauer Adam Levine |
| author_facet | Stefan Leichenauer Adam Levine |
| author_sort | Stefan Leichenauer |
| collection | DOAJ |
| description | Abstract We prove a lower bound on the integrated null energy along achronal geodesic segments using induced gravity on a brane in AdS/CFT. The bound follows from the assumption that bulk causality respects brane causality, and matches a bound recently conjectured by Freivogel and Krommydas for semiclassical gravity. We also prove a more general upper bound on the same quantity that follows simply from achronality. We check that the lower bound is satisfied in recent constructions of traversable wormholes, and demonstrate that the bound is related to causality in the ambient spacetime of the wormhole. |
| first_indexed | 2024-12-15T00:05:19Z |
| format | Article |
| id | doaj.art-239a64cac0ae46718d0db847480c901d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-15T00:05:19Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-239a64cac0ae46718d0db847480c901d2022-12-21T22:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019111510.1007/JHEP01(2019)133Upper and lower bounds on the integrated null energy in gravityStefan Leichenauer0Adam Levine1Department of Physics, Alphabet (Google) XDepartment of Physics, University of CaliforniaAbstract We prove a lower bound on the integrated null energy along achronal geodesic segments using induced gravity on a brane in AdS/CFT. The bound follows from the assumption that bulk causality respects brane causality, and matches a bound recently conjectured by Freivogel and Krommydas for semiclassical gravity. We also prove a more general upper bound on the same quantity that follows simply from achronality. We check that the lower bound is satisfied in recent constructions of traversable wormholes, and demonstrate that the bound is related to causality in the ambient spacetime of the wormhole.http://link.springer.com/article/10.1007/JHEP01(2019)133AdS-CFT CorrespondenceClassical Theories of Gravity |
| spellingShingle | Stefan Leichenauer Adam Levine Upper and lower bounds on the integrated null energy in gravity Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
| title | Upper and lower bounds on the integrated null energy in gravity |
| title_full | Upper and lower bounds on the integrated null energy in gravity |
| title_fullStr | Upper and lower bounds on the integrated null energy in gravity |
| title_full_unstemmed | Upper and lower bounds on the integrated null energy in gravity |
| title_short | Upper and lower bounds on the integrated null energy in gravity |
| title_sort | upper and lower bounds on the integrated null energy in gravity |
| topic | AdS-CFT Correspondence Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)133 |
| work_keys_str_mv | AT stefanleichenauer upperandlowerboundsontheintegratednullenergyingravity AT adamlevine upperandlowerboundsontheintegratednullenergyingravity |