Non-equatorial scalar rings supported by rapidly spinning Gauss-Bonnet black holes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917875363610624 |
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| author | Hod, Shahar |
| author_facet | Hod, Shahar |
| contents | Black-hole spacetimes that possess stationary equatorial matter rings are known to exist in general relativity. We here reveal the existence of black-hole spacetimes that support {\it non}-equatorial matter rings. In particular, it is proved that rapidly-rotating Kerr black holes in the dimensionless large-spin regime ${\bar a}>{\bar a}_{\text{crit}}= \sqrt{\big\{{{7+\sqrt{7}\cos\big[{1\over3}\arctan\big(3\sqrt{3}\big)\big]- \sqrt{21}\sin\big[{1\over3}\arctan\big(3\sqrt{3}\big)\big]}\big\}/12}}\simeq0.78$ can support a pair of non-equatorial massive scalar rings which are negatively coupled to the Gauss-Bonnet curvature invariant of the spinning spacetime (here ${\bar a}\equiv J/M^2$ is the dimensionless angular momentum of the central supporting black hole). We explicitly prove that these non-equatorial scalar rings are characterized by the dimensionless functional relation $-{{57+28\sqrt{21}\cos\big[{1\over3}\arctan\big({{1}\over{3\sqrt{3}}}\big)\big]} \over{8(1+\sqrt{1-{\bar a}^2})^6}} \cdot{{\barη}\over{{\barμ}^2}}\to 1^{+}$ in the large-mass ${\barμ}\equiv Mμ\gg1$ regime (here $\{{\barη}<0,μ\}$ are respectively the non-trivial coupling parameter of the composed Einstein-Gauss-Bonnet-massive-scalar field theory and the proper mass of the supported non-minimally coupled scalar field). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_15332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equatorial scalar rings supported by rapidly spinning Gauss-Bonnet black holes Hod, Shahar General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory Black-hole spacetimes that possess stationary equatorial matter rings are known to exist in general relativity. We here reveal the existence of black-hole spacetimes that support {\it non}-equatorial matter rings. In particular, it is proved that rapidly-rotating Kerr black holes in the dimensionless large-spin regime ${\bar a}>{\bar a}_{\text{crit}}= \sqrt{\big\{{{7+\sqrt{7}\cos\big[{1\over3}\arctan\big(3\sqrt{3}\big)\big]- \sqrt{21}\sin\big[{1\over3}\arctan\big(3\sqrt{3}\big)\big]}\big\}/12}}\simeq0.78$ can support a pair of non-equatorial massive scalar rings which are negatively coupled to the Gauss-Bonnet curvature invariant of the spinning spacetime (here ${\bar a}\equiv J/M^2$ is the dimensionless angular momentum of the central supporting black hole). We explicitly prove that these non-equatorial scalar rings are characterized by the dimensionless functional relation $-{{57+28\sqrt{21}\cos\big[{1\over3}\arctan\big({{1}\over{3\sqrt{3}}}\big)\big]} \over{8(1+\sqrt{1-{\bar a}^2})^6}} \cdot{{\barη}\over{{\barμ}^2}}\to 1^{+}$ in the large-mass ${\barμ}\equiv Mμ\gg1$ regime (here $\{{\barη}<0,μ\}$ are respectively the non-trivial coupling parameter of the composed Einstein-Gauss-Bonnet-massive-scalar field theory and the proper mass of the supported non-minimally coupled scalar field). |
| title | Non-equatorial scalar rings supported by rapidly spinning Gauss-Bonnet black holes |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.15332 |