Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime
Abstract Recent numerical studies have revealed the physically intriguing fact that charged black holes whose charge-to-mass ratios are larger than the critical value $$(Q/M)_{\text {crit}}=\sqrt{2(9+\sqrt{6})}/5$$ ( Q / M ) crit = 2 ( 9 + 6 ) / 5 can support hairy matter configurations which are ma...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11385-2 |
| _version_ | 1797836267339120640 |
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| author | Shahar Hod |
| author_facet | Shahar Hod |
| author_sort | Shahar Hod |
| collection | DOAJ |
| description | Abstract Recent numerical studies have revealed the physically intriguing fact that charged black holes whose charge-to-mass ratios are larger than the critical value $$(Q/M)_{\text {crit}}=\sqrt{2(9+\sqrt{6})}/5$$ ( Q / M ) crit = 2 ( 9 + 6 ) / 5 can support hairy matter configurations which are made of scalar fields with a non-minimal negative coupling to the Gauss–Bonnet invariant of the curved spacetime. Using analytical techniques, we explore the physical and mathematical properties of the composed charged-black-hole-nonminimally-coupled-linearized-massless-scalar-field configurations in the near-critical $$Q/M\gtrsim (Q/M)_{\text {crit}}$$ Q / M ≳ ( Q / M ) crit regime. In particular, we derive an analytical resonance formula that describes the charge-dependence of the dimensionless coupling parameter $$\bar{\eta }_{\text {crit}}=\bar{\eta }_{\text {crit}}(Q/M)$$ η ¯ crit = η ¯ crit ( Q / M ) of the composed Einstein–Maxwell-nonminimally-coupled-scalar-field system along the existence-line of the theory, a critical border that separates bald Reissner–Nordström black holes from hairy charged-black-hole-scalar-field configurations. In addition, it is explicitly shown that the large-coupling $$-\bar{\eta }_{\text {crit}}(Q/M)\gg 1$$ - η ¯ crit ( Q / M ) ≫ 1 analytical results derived in the present paper for the composed Einstein–Maxwell-scalar theory agree remarkably well with direct numerical computations of the corresponding black-hole-field resonance spectrum. |
| first_indexed | 2024-04-09T15:07:10Z |
| format | Article |
| id | doaj.art-2e372bc9910b4ba9a72aec15da9ae4ce |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T15:07:10Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2e372bc9910b4ba9a72aec15da9ae4ce2023-04-30T11:25:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-03-018331710.1140/epjc/s10052-023-11385-2Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regimeShahar Hod0The Ruppin Academic CenterAbstract Recent numerical studies have revealed the physically intriguing fact that charged black holes whose charge-to-mass ratios are larger than the critical value $$(Q/M)_{\text {crit}}=\sqrt{2(9+\sqrt{6})}/5$$ ( Q / M ) crit = 2 ( 9 + 6 ) / 5 can support hairy matter configurations which are made of scalar fields with a non-minimal negative coupling to the Gauss–Bonnet invariant of the curved spacetime. Using analytical techniques, we explore the physical and mathematical properties of the composed charged-black-hole-nonminimally-coupled-linearized-massless-scalar-field configurations in the near-critical $$Q/M\gtrsim (Q/M)_{\text {crit}}$$ Q / M ≳ ( Q / M ) crit regime. In particular, we derive an analytical resonance formula that describes the charge-dependence of the dimensionless coupling parameter $$\bar{\eta }_{\text {crit}}=\bar{\eta }_{\text {crit}}(Q/M)$$ η ¯ crit = η ¯ crit ( Q / M ) of the composed Einstein–Maxwell-nonminimally-coupled-scalar-field system along the existence-line of the theory, a critical border that separates bald Reissner–Nordström black holes from hairy charged-black-hole-scalar-field configurations. In addition, it is explicitly shown that the large-coupling $$-\bar{\eta }_{\text {crit}}(Q/M)\gg 1$$ - η ¯ crit ( Q / M ) ≫ 1 analytical results derived in the present paper for the composed Einstein–Maxwell-scalar theory agree remarkably well with direct numerical computations of the corresponding black-hole-field resonance spectrum.https://doi.org/10.1140/epjc/s10052-023-11385-2 |
| spellingShingle | Shahar Hod Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime European Physical Journal C: Particles and Fields |
| title | Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime |
| title_full | Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime |
| title_fullStr | Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime |
| title_full_unstemmed | Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime |
| title_short | Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime |
| title_sort | charged gauss bonnet black holes supporting non minimally coupled scalar clouds analytic treatment in the near critical regime |
| url | https://doi.org/10.1140/epjc/s10052-023-11385-2 |
| work_keys_str_mv | AT shaharhod chargedgaussbonnetblackholessupportingnonminimallycoupledscalarcloudsanalytictreatmentinthenearcriticalregime |