Spontaneous scalarization in (A)dS gravity at zero temperature
Abstract We study spontaneous scalarization of electrically charged extremal black holes in D ≥ 4 spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar — Higgs potential and Stueckelberg interaction with electromagnetic and gravitational...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)100 |
| _version_ | 1828259991208853504 |
|---|---|
| author | Alessio Marrani Olivera Miskovic Paula Quezada Leon |
| author_facet | Alessio Marrani Olivera Miskovic Paula Quezada Leon |
| author_sort | Alessio Marrani |
| collection | DOAJ |
| description | Abstract We study spontaneous scalarization of electrically charged extremal black holes in D ≥ 4 spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar — Higgs potential and Stueckelberg interaction with electromagnetic and gravitational fields, characterized by the couplings a and b, respectively. We use the entropy representation of the states in the vicinity of the horizon, apply the inverse attractor mechanism for the scalar field, and analyze analytically the thermodynamic stability of the system using the laws of thermodynamics. As a result, we obtain that the scalar field condensates on the horizon only in spacetimes which are asymptotically non-flat, Λ ≠ 0 (dS or AdS), and whose extremal black holes have non-planar horizons k = ±1, provided that the mass m of the scalar field belongs to a mass interval (area code) different for each set of the boundary conditions specified by (Λ, k). A process of scalarization describes a second order phase transition of the black hole, from the extremal Reissner-Nordström (A)dS one, to the corresponding extremal hairy one. Furthermore, for the transition to happen, the interaction has to be strong enough, and all physical quantities on the horizon depend at most on the effective Higgs-Stueckelberg interaction am 2 − 2b. Most of our results are general, valid for any parameter and any spacetime dimension. |
| first_indexed | 2024-04-13T03:17:35Z |
| format | Article |
| id | doaj.art-80645f1a391f4320aff42f9d005b3b97 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T03:17:35Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-80645f1a391f4320aff42f9d005b3b972022-12-22T03:04:52ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713810.1007/JHEP07(2022)100Spontaneous scalarization in (A)dS gravity at zero temperatureAlessio Marrani0Olivera Miskovic1Paula Quezada Leon2Instituto de Física Teorica, Dep.to de Física, Universidad de MurciaInstituto de Física, Pontificia Universidad Católica de ValparaísoInstituto de Física, Pontificia Universidad Católica de ValparaísoAbstract We study spontaneous scalarization of electrically charged extremal black holes in D ≥ 4 spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar — Higgs potential and Stueckelberg interaction with electromagnetic and gravitational fields, characterized by the couplings a and b, respectively. We use the entropy representation of the states in the vicinity of the horizon, apply the inverse attractor mechanism for the scalar field, and analyze analytically the thermodynamic stability of the system using the laws of thermodynamics. As a result, we obtain that the scalar field condensates on the horizon only in spacetimes which are asymptotically non-flat, Λ ≠ 0 (dS or AdS), and whose extremal black holes have non-planar horizons k = ±1, provided that the mass m of the scalar field belongs to a mass interval (area code) different for each set of the boundary conditions specified by (Λ, k). A process of scalarization describes a second order phase transition of the black hole, from the extremal Reissner-Nordström (A)dS one, to the corresponding extremal hairy one. Furthermore, for the transition to happen, the interaction has to be strong enough, and all physical quantities on the horizon depend at most on the effective Higgs-Stueckelberg interaction am 2 − 2b. Most of our results are general, valid for any parameter and any spacetime dimension.https://doi.org/10.1007/JHEP07(2022)100Black HolesBlack Holes in String Theory |
| spellingShingle | Alessio Marrani Olivera Miskovic Paula Quezada Leon Spontaneous scalarization in (A)dS gravity at zero temperature Journal of High Energy Physics Black Holes Black Holes in String Theory |
| title | Spontaneous scalarization in (A)dS gravity at zero temperature |
| title_full | Spontaneous scalarization in (A)dS gravity at zero temperature |
| title_fullStr | Spontaneous scalarization in (A)dS gravity at zero temperature |
| title_full_unstemmed | Spontaneous scalarization in (A)dS gravity at zero temperature |
| title_short | Spontaneous scalarization in (A)dS gravity at zero temperature |
| title_sort | spontaneous scalarization in a ds gravity at zero temperature |
| topic | Black Holes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP07(2022)100 |
| work_keys_str_mv | AT alessiomarrani spontaneousscalarizationinadsgravityatzerotemperature AT oliveramiskovic spontaneousscalarizationinadsgravityatzerotemperature AT paulaquezadaleon spontaneousscalarizationinadsgravityatzerotemperature |