Gravitational corner conditions in holography
Abstract Contrary to popular belief, asymptotically anti-de Sitter solutions of gravitational theories cannot be obtained by taking initial data (satisfying the constraints) on a spacelike surface, and choosing an arbitrary conformal metric on the timelike boundary at infinity. There are an infinite...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)155 |
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| author | Gary T. Horowitz Diandian Wang |
| author_facet | Gary T. Horowitz Diandian Wang |
| author_sort | Gary T. Horowitz |
| collection | DOAJ |
| description | Abstract Contrary to popular belief, asymptotically anti-de Sitter solutions of gravitational theories cannot be obtained by taking initial data (satisfying the constraints) on a spacelike surface, and choosing an arbitrary conformal metric on the timelike boundary at infinity. There are an infinite number of corner conditions that also must be satisfied where the initial data surface hits the boundary. These are well known to mathematical relativists, but to make them more widely known we give a simple explanation of why these conditions exist and discuss some of their consequences. An example is given which illustrates their power. Some implications for holography are also mentioned. |
| format | Article |
| id | doaj-art-8dca27ef997345e59223c2c6587fab27 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8dca27ef997345e59223c2c6587fab272025-01-26T12:11:10ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111410.1007/JHEP01(2020)155Gravitational corner conditions in holographyGary T. Horowitz0Diandian Wang1Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract Contrary to popular belief, asymptotically anti-de Sitter solutions of gravitational theories cannot be obtained by taking initial data (satisfying the constraints) on a spacelike surface, and choosing an arbitrary conformal metric on the timelike boundary at infinity. There are an infinite number of corner conditions that also must be satisfied where the initial data surface hits the boundary. These are well known to mathematical relativists, but to make them more widely known we give a simple explanation of why these conditions exist and discuss some of their consequences. An example is given which illustrates their power. Some implications for holography are also mentioned.https://doi.org/10.1007/JHEP01(2020)155AdS-CFT CorrespondenceClassical Theories of Gravity |
| spellingShingle | Gary T. Horowitz Diandian Wang Gravitational corner conditions in holography Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
| title | Gravitational corner conditions in holography |
| title_full | Gravitational corner conditions in holography |
| title_fullStr | Gravitational corner conditions in holography |
| title_full_unstemmed | Gravitational corner conditions in holography |
| title_short | Gravitational corner conditions in holography |
| title_sort | gravitational corner conditions in holography |
| topic | AdS-CFT Correspondence Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP01(2020)155 |
| work_keys_str_mv | AT garythorowitz gravitationalcornerconditionsinholography AT diandianwang gravitationalcornerconditionsinholography |