No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes
Abstract Recently, a “no inner (Cauchy) horizon theorem” for static black holes with non-trivial scalar hairs has been proved in Einstein–Maxwell–scalar theories and also in Einstein–Maxwell–Horndeski theories with the non-minimal coupling of a charged (complex) scalar field to Einstein tensor. In t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12516-z |
| _version_ | 1797209164206833664 |
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| author | Deniz O. Devecioğlu Mu-In Park |
| author_facet | Deniz O. Devecioğlu Mu-In Park |
| author_sort | Deniz O. Devecioğlu |
| collection | DOAJ |
| description | Abstract Recently, a “no inner (Cauchy) horizon theorem” for static black holes with non-trivial scalar hairs has been proved in Einstein–Maxwell–scalar theories and also in Einstein–Maxwell–Horndeski theories with the non-minimal coupling of a charged (complex) scalar field to Einstein tensor. In this paper, we study an extension of the theorem to the static black holes in Einstein–Maxwell–Gauss–Bonnet-scalar theories, or simply, charged Gauss–Bonnet (GB) black holes. We find that no inner horizon with charged scalar hairs is allowed for the planar ( $$k=0$$ k = 0 ) black holes, as in the case without GB term. On the other hand, for the non-planar ( $$k=\pm 1$$ k = ± 1 ) black holes, we find that the haired inner horizon can not be excluded due to GB effect generally, though we can not find a simple condition for its existence. As some explicit examples of the theorem, we study numerical GB black hole solutions with charged scalar hairs and Cauchy horizons in asymptotically anti-de Sitter space, and find good agreements with the theorem. Additionally, in an Appendix, we prove a “no-go theorem” for charged de Sitter black holes (with or without GB terms) with charged scalar hairs in arbitrary dimensions. |
| first_indexed | 2024-03-07T14:45:09Z |
| format | Article |
| id | doaj.art-d8ec030005394a4eb23f4d59fcd9e1ea |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T09:50:21Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d8ec030005394a4eb23f4d59fcd9e1ea2024-04-14T11:26:27ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-02-0184211310.1140/epjc/s10052-024-12516-zNo scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holesDeniz O. Devecioğlu0Mu-In Park1Center for Quantum Spacetime, Sogang UniversityCenter for Quantum Spacetime, Sogang UniversityAbstract Recently, a “no inner (Cauchy) horizon theorem” for static black holes with non-trivial scalar hairs has been proved in Einstein–Maxwell–scalar theories and also in Einstein–Maxwell–Horndeski theories with the non-minimal coupling of a charged (complex) scalar field to Einstein tensor. In this paper, we study an extension of the theorem to the static black holes in Einstein–Maxwell–Gauss–Bonnet-scalar theories, or simply, charged Gauss–Bonnet (GB) black holes. We find that no inner horizon with charged scalar hairs is allowed for the planar ( $$k=0$$ k = 0 ) black holes, as in the case without GB term. On the other hand, for the non-planar ( $$k=\pm 1$$ k = ± 1 ) black holes, we find that the haired inner horizon can not be excluded due to GB effect generally, though we can not find a simple condition for its existence. As some explicit examples of the theorem, we study numerical GB black hole solutions with charged scalar hairs and Cauchy horizons in asymptotically anti-de Sitter space, and find good agreements with the theorem. Additionally, in an Appendix, we prove a “no-go theorem” for charged de Sitter black holes (with or without GB terms) with charged scalar hairs in arbitrary dimensions.https://doi.org/10.1140/epjc/s10052-024-12516-z |
| spellingShingle | Deniz O. Devecioğlu Mu-In Park No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes European Physical Journal C: Particles and Fields |
| title | No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes |
| title_full | No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes |
| title_fullStr | No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes |
| title_full_unstemmed | No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes |
| title_short | No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes |
| title_sort | no scalar haired cauchy horizon theorem in charged gauss bonnet black holes |
| url | https://doi.org/10.1140/epjc/s10052-024-12516-z |
| work_keys_str_mv | AT denizodevecioglu noscalarhairedcauchyhorizontheoreminchargedgaussbonnetblackholes AT muinpark noscalarhairedcauchyhorizontheoreminchargedgaussbonnetblackholes |