Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds
Abstract It has recently been revealed that massless scalar fields which are non-minimally coupled to the Maxwell electromagnetic tensor can be supported in the exterior spacetime regions of spherically symmetric charged black holes. The boundary between scalarized charged black-hole spacetimes and...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-08723-z |
| _version_ | 1818647272219475968 |
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| author | Shahar Hod |
| author_facet | Shahar Hod |
| author_sort | Shahar Hod |
| collection | DOAJ |
| description | Abstract It has recently been revealed that massless scalar fields which are non-minimally coupled to the Maxwell electromagnetic tensor can be supported in the exterior spacetime regions of spherically symmetric charged black holes. The boundary between scalarized charged black-hole spacetimes and bald (scalarless) Reissner–Nordström black holes is determined by the presence of a critical existence-line which describes spatially regular linearized scalar ‘clouds’ that are supported in the black-hole spacetime. In the present paper we use analytical techniques in order to solve the Klein–Gordon wave equation for the non-minimally coupled linearized scalar fields in the spacetimes of near-extremal supporting black holes. In particular, we derive a remarkably compact analytical formula for the discrete resonant spectrum $$\{\alpha (l,Q/M;n)\}^{n=\infty }_{n=1}$$ { α ( l , Q / M ; n ) } n = 1 n = ∞ which characterizes the dimensionless coupling parameter of the composed Reissner–Nordström-black-hole-nonminimally-coupled-massless-scalar-field configurations along the critical existence-line of the Einstein–Maxwell-scalar theory (here Q/M is the dimensionless charge-to-mass ratio of the central supporting black hole and l is the angular harmonic index of the supported scalar configurations). |
| first_indexed | 2024-12-17T00:59:54Z |
| format | Article |
| id | doaj.art-595270d96b414126a1dca3d04f4caa3f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-17T00:59:54Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-595270d96b414126a1dca3d04f4caa3f2022-12-21T22:09:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-12-0180121710.1140/epjc/s10052-020-08723-zAnalytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar cloudsShahar Hod0The Ruppin Academic CenterAbstract It has recently been revealed that massless scalar fields which are non-minimally coupled to the Maxwell electromagnetic tensor can be supported in the exterior spacetime regions of spherically symmetric charged black holes. The boundary between scalarized charged black-hole spacetimes and bald (scalarless) Reissner–Nordström black holes is determined by the presence of a critical existence-line which describes spatially regular linearized scalar ‘clouds’ that are supported in the black-hole spacetime. In the present paper we use analytical techniques in order to solve the Klein–Gordon wave equation for the non-minimally coupled linearized scalar fields in the spacetimes of near-extremal supporting black holes. In particular, we derive a remarkably compact analytical formula for the discrete resonant spectrum $$\{\alpha (l,Q/M;n)\}^{n=\infty }_{n=1}$$ { α ( l , Q / M ; n ) } n = 1 n = ∞ which characterizes the dimensionless coupling parameter of the composed Reissner–Nordström-black-hole-nonminimally-coupled-massless-scalar-field configurations along the critical existence-line of the Einstein–Maxwell-scalar theory (here Q/M is the dimensionless charge-to-mass ratio of the central supporting black hole and l is the angular harmonic index of the supported scalar configurations).https://doi.org/10.1140/epjc/s10052-020-08723-z |
| spellingShingle | Shahar Hod Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds European Physical Journal C: Particles and Fields |
| title | Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds |
| title_full | Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds |
| title_fullStr | Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds |
| title_full_unstemmed | Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds |
| title_short | Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds |
| title_sort | analytic treatment of near extremal charged black holes supporting non minimally coupled massless scalar clouds |
| url | https://doi.org/10.1140/epjc/s10052-020-08723-z |
| work_keys_str_mv | AT shaharhod analytictreatmentofnearextremalchargedblackholessupportingnonminimallycoupledmasslessscalarclouds |