Kaluza-Klein monopole with scalar hair
Abstract We construct a new family of rotating black holes with scalar hair and a regular horizon of spherical topology, within five dimensional (d = 5) Einstein’s gravity minimally coupled to a complex, massive scalar field doublet. These solutions represent generalizations of the Kaluza-Klein mono...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)181 |
| _version_ | 1797276160472645632 |
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| author | Y. Brihaye C. Herdeiro J. Novo E. Radu |
| author_facet | Y. Brihaye C. Herdeiro J. Novo E. Radu |
| author_sort | Y. Brihaye |
| collection | DOAJ |
| description | Abstract We construct a new family of rotating black holes with scalar hair and a regular horizon of spherical topology, within five dimensional (d = 5) Einstein’s gravity minimally coupled to a complex, massive scalar field doublet. These solutions represent generalizations of the Kaluza-Klein monopole found by Gross, Perry and Sorkin, with a twisted S 1 bundle over a four dimensional Minkowski spacetime being approached in the far field. The black holes are described by their mass, angular momentum, tension and a conserved Noether charge measuring the hairiness of the configurations. They are supported by rotation and have no static limit, while for vanishing horizon size, they reduce to boson stars. When performing a Kaluza-Klein reduction, the d = 5 solutions yield a family of d = 4 spherically symmetric dyonic black holes with gauged scalar hair. This provides a link between two seemingly unrelated mechanisms to endow a black hole with scalar hair: the d = 5 synchronization condition between the scalar field frequency and the event horizon angular velocity results in the d = 4 resonance condition between the scalar field frequency and the electrostatic chemical potential. |
| first_indexed | 2024-03-07T15:24:21Z |
| format | Article |
| id | doaj.art-eaa0b1c3338143afa5b8b5961d5e9faf |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:24:21Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-eaa0b1c3338143afa5b8b5961d5e9faf2024-03-05T17:26:46ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113610.1007/JHEP01(2024)181Kaluza-Klein monopole with scalar hairY. Brihaye0C. Herdeiro1J. Novo2E. Radu3Physique de l’Univers, Université de Mons-HainautDepartamento 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)Departamento de Matemática da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA)Abstract We construct a new family of rotating black holes with scalar hair and a regular horizon of spherical topology, within five dimensional (d = 5) Einstein’s gravity minimally coupled to a complex, massive scalar field doublet. These solutions represent generalizations of the Kaluza-Klein monopole found by Gross, Perry and Sorkin, with a twisted S 1 bundle over a four dimensional Minkowski spacetime being approached in the far field. The black holes are described by their mass, angular momentum, tension and a conserved Noether charge measuring the hairiness of the configurations. They are supported by rotation and have no static limit, while for vanishing horizon size, they reduce to boson stars. When performing a Kaluza-Klein reduction, the d = 5 solutions yield a family of d = 4 spherically symmetric dyonic black holes with gauged scalar hair. This provides a link between two seemingly unrelated mechanisms to endow a black hole with scalar hair: the d = 5 synchronization condition between the scalar field frequency and the event horizon angular velocity results in the d = 4 resonance condition between the scalar field frequency and the electrostatic chemical potential.https://doi.org/10.1007/JHEP01(2024)181Black HolesClassical Theories of GravityField Theories in Higher Dimensions |
| spellingShingle | Y. Brihaye C. Herdeiro J. Novo E. Radu Kaluza-Klein monopole with scalar hair Journal of High Energy Physics Black Holes Classical Theories of Gravity Field Theories in Higher Dimensions |
| title | Kaluza-Klein monopole with scalar hair |
| title_full | Kaluza-Klein monopole with scalar hair |
| title_fullStr | Kaluza-Klein monopole with scalar hair |
| title_full_unstemmed | Kaluza-Klein monopole with scalar hair |
| title_short | Kaluza-Klein monopole with scalar hair |
| title_sort | kaluza klein monopole with scalar hair |
| topic | Black Holes Classical Theories of Gravity Field Theories in Higher Dimensions |
| url | https://doi.org/10.1007/JHEP01(2024)181 |
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