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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Main Authors: Turkuler Durgut, Robie A. Hennigar, Hari K. Kunduri, Robert B. Mann
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of High Energy Physics
Subjects:
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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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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