Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
Abstract We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from an electromagnetic Fayet-Iliopoulos (FI) term in N...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)063 |
| _version_ | 1819116058884177920 |
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| author | Dumitru Astefanesei Jose Luis Blázquez-Salcedo Carlos Herdeiro Eugen Radu Nicolas Sanchis-Gual |
| author_facet | Dumitru Astefanesei Jose Luis Blázquez-Salcedo Carlos Herdeiro Eugen Radu Nicolas Sanchis-Gual |
| author_sort | Dumitru Astefanesei |
| collection | DOAJ |
| description | Abstract We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from an electromagnetic Fayet-Iliopoulos (FI) term in N $$ \mathcal{N} $$ = 2 extended supergravity in four spacetime dimensions. For the case we are interested in, this potential introduces a single parameter α. When α → 0, the static black holes (BHs) of the model are the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) solutions. When α → ∞, the BHs become the standard Reissner-Nordström (RN) solutions of electrovacuum General Relativity. The BH solutions for finite non-zero α interpolate between these two families. In this case, the dilaton potential regularizes the extremal limit of the GMGHS solution yielding a set of zero temperature BHs with a near horizon AdS 2 × S 2 geometry. We show that, in the neighborhood of these extremal solutions, there is a subset of BHs that are dynamically and thermodynamically stable, all of which have charge to mass ratio larger than unity. By dynamical stability we mean that no growing quasi-normal modes are found; thus they are stable against linear perturbations (spherical and non-spherical). Moreover, non-linear numerical evolutions lend support to their non-linear stability. By thermodynamical stability we mean the BHs are stable both in the canonical and grand-canonical ensemble. In particular, both the specific heat at constant charge and the isothermal permittivity are positive. This is not possible for RN and GMGHS BHs. We discuss the different thermodynamical phases for the BHs in this model and comment on what may allow the existence of both dynamically and thermodynamically stable BHs. |
| first_indexed | 2024-12-22T05:11:03Z |
| format | Article |
| id | doaj.art-f2a1c8392a0447e7a760c6a3d7895354 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T05:11:03Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f2a1c8392a0447e7a760c6a3d78953542022-12-21T18:37:59ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020712910.1007/JHEP07(2020)063Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravityDumitru Astefanesei0Jose Luis Blázquez-Salcedo1Carlos Herdeiro2Eugen Radu3Nicolas Sanchis-Gual4Pontificia Universidad Católica de Valparaíso, Instituto de FísicaInstitut für Physik, Universität OldenburgDepartamento de Matemática da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA)Departamento de Matemática da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA)Centro de Astrofísica e Gravitacão — CENTRA, Departamento de Física, Instituto Superior Técnico — IST, Universidade de Lisboa — ULAbstract We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from an electromagnetic Fayet-Iliopoulos (FI) term in N $$ \mathcal{N} $$ = 2 extended supergravity in four spacetime dimensions. For the case we are interested in, this potential introduces a single parameter α. When α → 0, the static black holes (BHs) of the model are the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) solutions. When α → ∞, the BHs become the standard Reissner-Nordström (RN) solutions of electrovacuum General Relativity. The BH solutions for finite non-zero α interpolate between these two families. In this case, the dilaton potential regularizes the extremal limit of the GMGHS solution yielding a set of zero temperature BHs with a near horizon AdS 2 × S 2 geometry. We show that, in the neighborhood of these extremal solutions, there is a subset of BHs that are dynamically and thermodynamically stable, all of which have charge to mass ratio larger than unity. By dynamical stability we mean that no growing quasi-normal modes are found; thus they are stable against linear perturbations (spherical and non-spherical). Moreover, non-linear numerical evolutions lend support to their non-linear stability. By thermodynamical stability we mean the BHs are stable both in the canonical and grand-canonical ensemble. In particular, both the specific heat at constant charge and the isothermal permittivity are positive. This is not possible for RN and GMGHS BHs. We discuss the different thermodynamical phases for the BHs in this model and comment on what may allow the existence of both dynamically and thermodynamically stable BHs.http://link.springer.com/article/10.1007/JHEP07(2020)063Black HolesBlack Holes in String Theory |
| spellingShingle | Dumitru Astefanesei Jose Luis Blázquez-Salcedo Carlos Herdeiro Eugen Radu Nicolas Sanchis-Gual Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity Journal of High Energy Physics Black Holes Black Holes in String Theory |
| title | Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity |
| title_full | Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity |
| title_fullStr | Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity |
| title_full_unstemmed | Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity |
| title_short | Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity |
| title_sort | dynamically and thermodynamically stable black holes in einstein maxwell dilaton gravity |
| topic | Black Holes Black Holes in String Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)063 |
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