Entanglement entropy, the Einstein equation and the Sparling construction
Abstract We relate the recent derivation of the linearised Einstein equation on an AdS background from holographic entanglement entropy arguments to the Sparling construction: we derive the differential form whose exterior derivative gives the Einstein equation from the Sparling formalism. We develo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2017)108 |
| _version_ | 1811303510861414400 |
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| author | Mahdi Godazgar |
| author_facet | Mahdi Godazgar |
| author_sort | Mahdi Godazgar |
| collection | DOAJ |
| description | Abstract We relate the recent derivation of the linearised Einstein equation on an AdS background from holographic entanglement entropy arguments to the Sparling construction: we derive the differential form whose exterior derivative gives the Einstein equation from the Sparling formalism. We develop the study of perturbations within the context of the Sparling formalism and find that the Sparling form vanishes for linearised perturbations on flat space. |
| first_indexed | 2024-04-13T07:49:11Z |
| format | Article |
| id | doaj.art-7f55fc75968e4b51859eeb1b05e01334 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T07:49:11Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7f55fc75968e4b51859eeb1b05e013342022-12-22T02:55:35ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017911510.1007/JHEP09(2017)108Entanglement entropy, the Einstein equation and the Sparling constructionMahdi Godazgar0Institut für Theoretische Physik, Eidgenössische Technische Hochschule ZürichAbstract We relate the recent derivation of the linearised Einstein equation on an AdS background from holographic entanglement entropy arguments to the Sparling construction: we derive the differential form whose exterior derivative gives the Einstein equation from the Sparling formalism. We develop the study of perturbations within the context of the Sparling formalism and find that the Sparling form vanishes for linearised perturbations on flat space.http://link.springer.com/article/10.1007/JHEP09(2017)108Classical Theories of GravityGauge-gravity correspondenceAdS-CFT Correspondence |
| spellingShingle | Mahdi Godazgar Entanglement entropy, the Einstein equation and the Sparling construction Journal of High Energy Physics Classical Theories of Gravity Gauge-gravity correspondence AdS-CFT Correspondence |
| title | Entanglement entropy, the Einstein equation and the Sparling construction |
| title_full | Entanglement entropy, the Einstein equation and the Sparling construction |
| title_fullStr | Entanglement entropy, the Einstein equation and the Sparling construction |
| title_full_unstemmed | Entanglement entropy, the Einstein equation and the Sparling construction |
| title_short | Entanglement entropy, the Einstein equation and the Sparling construction |
| title_sort | entanglement entropy the einstein equation and the sparling construction |
| topic | Classical Theories of Gravity Gauge-gravity correspondence AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP09(2017)108 |
| work_keys_str_mv | AT mahdigodazgar entanglemententropytheeinsteinequationandthesparlingconstruction |