Phase transitions and stability of Eguchi-Hanson-AdS solitons
Abstract The Eguchi-Hanson-AdS5 family of spacetimes are a class of static, geodesically complete asymptotically locally AdS5 soliton solutions of the vacuum Einstein equations with negative cosmological constant. They have negative mass and are parameterized by an integer p ≥ 3 with a conformal bou...
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Format: | Article |
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SpringerOpen
2023-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2023)114 |
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author | Turkuler Durgut Robie A. Hennigar Hari K. Kunduri Robert B. Mann |
author_facet | Turkuler Durgut Robie A. Hennigar Hari K. Kunduri Robert B. Mann |
author_sort | Turkuler Durgut |
collection | DOAJ |
description | Abstract The Eguchi-Hanson-AdS5 family of spacetimes are a class of static, geodesically complete asymptotically locally AdS5 soliton solutions of the vacuum Einstein equations with negative cosmological constant. They have negative mass and are parameterized by an integer p ≥ 3 with a conformal boundary with spatial topology L(p, 1). We investigate mode solutions of the scalar wave equation on this background and show that, similar to AdS5, the geometry admits a normal mode spectrum (i.e. solutions that neither grow or decay in time). In addition, we also discuss other geometric properties of these soliton spacetimes, including the behaviour of causal geodesics and their thermodynamic properties. We also point out a surprising connection with the AdS soliton. |
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institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-13T03:25:45Z |
publishDate | 2023-03-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
spelling | doaj.art-eac58436d5fb495a8265596f7586f19d2023-06-25T11:04:49ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023314810.1007/JHEP03(2023)114Phase transitions and stability of Eguchi-Hanson-AdS solitonsTurkuler Durgut0Robie A. Hennigar1Hari K. Kunduri2Robert B. Mann3Faculty of Science, Theoretical Physics, Memorial University of NewfoundlandDepartament de Física Quàntica i Astrofísica, Institut de Ciències del Cosmos, Universitat de BarcelonaDepartment of Mathematic and Statistics and Department of Physics and Astronomy, McMaster UniversityDepartment of Physics and Astronomy, University of WaterlooAbstract The Eguchi-Hanson-AdS5 family of spacetimes are a class of static, geodesically complete asymptotically locally AdS5 soliton solutions of the vacuum Einstein equations with negative cosmological constant. They have negative mass and are parameterized by an integer p ≥ 3 with a conformal boundary with spatial topology L(p, 1). We investigate mode solutions of the scalar wave equation on this background and show that, similar to AdS5, the geometry admits a normal mode spectrum (i.e. solutions that neither grow or decay in time). In addition, we also discuss other geometric properties of these soliton spacetimes, including the behaviour of causal geodesics and their thermodynamic properties. We also point out a surprising connection with the AdS soliton.https://doi.org/10.1007/JHEP03(2023)114Classical Theories of GravityAdS-CFT CorrespondenceSpacetime Singularities |
spellingShingle | Turkuler Durgut Robie A. Hennigar Hari K. Kunduri Robert B. Mann Phase transitions and stability of Eguchi-Hanson-AdS solitons Journal of High Energy Physics Classical Theories of Gravity AdS-CFT Correspondence Spacetime Singularities |
title | Phase transitions and stability of Eguchi-Hanson-AdS solitons |
title_full | Phase transitions and stability of Eguchi-Hanson-AdS solitons |
title_fullStr | Phase transitions and stability of Eguchi-Hanson-AdS solitons |
title_full_unstemmed | Phase transitions and stability of Eguchi-Hanson-AdS solitons |
title_short | Phase transitions and stability of Eguchi-Hanson-AdS solitons |
title_sort | phase transitions and stability of eguchi hanson ads solitons |
topic | Classical Theories of Gravity AdS-CFT Correspondence Spacetime Singularities |
url | https://doi.org/10.1007/JHEP03(2023)114 |
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