Strolling along gravitational vacua
Abstract We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference flat metric by diffeomorpisms that ar...
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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)184 |
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| _version_ | 1823863467362222080 |
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| author | Emine Şeyma Kutluk Ali Seraj Dieter Van den Bleeken |
| author_facet | Emine Şeyma Kutluk Ali Seraj Dieter Van den Bleeken |
| author_sort | Emine Şeyma Kutluk |
| collection | DOAJ |
| description | Abstract We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference flat metric by diffeomorpisms that are non-trivial at the boundary. In an adiabatic limit the Einstein equations reduce to geodesic motion on this space of vacua with respect to a particular pseudo-Riemannian metric that we identify. We show how the momentum constraint implies that this metric is fully determined by data on the boundary ∂M only, while the Hamiltonian constraint forces the geodesics to be null. We comment on how the conserved momenta of the geodesic motion correspond to an infinite set of conserved boundary charges of GR in this setup. |
| format | Article |
| id | doaj-art-6b107fa58acb425aa1ff198935340a9f |
| 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-6b107fa58acb425aa1ff198935340a9f2025-02-09T12:06:15ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113210.1007/JHEP01(2020)184Strolling along gravitational vacuaEmine Şeyma Kutluk0Ali Seraj1Dieter Van den Bleeken2Physics Department, Boğaziçi UniversityUniversité Libre de Bruxelles and International Solvay InstitutesPhysics Department, Boğaziçi UniversityAbstract We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference flat metric by diffeomorpisms that are non-trivial at the boundary. In an adiabatic limit the Einstein equations reduce to geodesic motion on this space of vacua with respect to a particular pseudo-Riemannian metric that we identify. We show how the momentum constraint implies that this metric is fully determined by data on the boundary ∂M only, while the Hamiltonian constraint forces the geodesics to be null. We comment on how the conserved momenta of the geodesic motion correspond to an infinite set of conserved boundary charges of GR in this setup.https://doi.org/10.1007/JHEP01(2020)184Classical Theories of GravityDifferential and Algebraic GeometryGauge SymmetryGlobal Symmetries |
| spellingShingle | Emine Şeyma Kutluk Ali Seraj Dieter Van den Bleeken Strolling along gravitational vacua Journal of High Energy Physics Classical Theories of Gravity Differential and Algebraic Geometry Gauge Symmetry Global Symmetries |
| title | Strolling along gravitational vacua |
| title_full | Strolling along gravitational vacua |
| title_fullStr | Strolling along gravitational vacua |
| title_full_unstemmed | Strolling along gravitational vacua |
| title_short | Strolling along gravitational vacua |
| title_sort | strolling along gravitational vacua |
| topic | Classical Theories of Gravity Differential and Algebraic Geometry Gauge Symmetry Global Symmetries |
| url | https://doi.org/10.1007/JHEP01(2020)184 |
| work_keys_str_mv | AT emineseymakutluk strollingalonggravitationalvacua AT aliseraj strollingalonggravitationalvacua AT dietervandenbleeken strollingalonggravitationalvacua |