Inter-disks inversion surfaces
Abstract We consider a counter-rotating torus orbiting a central Kerr black hole (BH) with dimensionless spin a, and its accretion flow into the BH, in an agglomerate of an outer counter-rotating torus and an inner co-rotating torus. This work focus is the analysis of the inter-disks inversion surfa...
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| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13457-3 |
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| author | D. Pugliese Z. Stuchlík |
| author_facet | D. Pugliese Z. Stuchlík |
| author_sort | D. Pugliese |
| collection | DOAJ |
| description | Abstract We consider a counter-rotating torus orbiting a central Kerr black hole (BH) with dimensionless spin a, and its accretion flow into the BH, in an agglomerate of an outer counter-rotating torus and an inner co-rotating torus. This work focus is the analysis of the inter-disks inversion surfaces. Inversion surfaces are spacetime surfaces, defined by the condition $$u^{\phi }=0$$ u ϕ = 0 on the flow torodial velocity, located out of the BH ergoregion, and totally embedding the BH. They emerge as a necessary condition, related to the spacetime frame-dragging, for the counter-rotating flows into the central Kerr BH. In our analysis we study the inversion surfaces of the Kerr spacetimes for the counter-rotating flow from the outer torus, impacting on the inner co-rotating disk. Being totally or partially embedded in (internal to) the inversion surfaces, the inner co-rotating torus (or jet) could be totally or in part “shielded”, respectively, from the impact with flow with $$a u^{\phi }<0$$ a u ϕ < 0 . We prove that, in general, in the spacetimes with $$a<0.551$$ a < 0.551 the co-rotating toroids are always external to the accretion flows inversion surfaces. For $$0.551<a<0.886$$ 0.551 < a < 0.886 , co-rotating toroids could be partially internal (with the disk inner region, including the inner edge) in the flow inversion surface. For BHs with $$a>0.886$$ a > 0.886 , a co-rotating torus could be entirely embedded in the inversion surface and, for larger spins, it is internal to the inversion surfaces. Tori orbiting in the BH outer ergoregion are a particular case. Further constraints on the BHs spins are discussed in the article. |
| format | Article |
| id | doaj-art-c0a799ddc40b419bb5428335457e30c2 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-c0a799ddc40b419bb5428335457e30c22025-08-20T02:31:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841012510.1140/epjc/s10052-024-13457-3Inter-disks inversion surfacesD. Pugliese0Z. Stuchlík1Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in OpavaResearch Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in OpavaAbstract We consider a counter-rotating torus orbiting a central Kerr black hole (BH) with dimensionless spin a, and its accretion flow into the BH, in an agglomerate of an outer counter-rotating torus and an inner co-rotating torus. This work focus is the analysis of the inter-disks inversion surfaces. Inversion surfaces are spacetime surfaces, defined by the condition $$u^{\phi }=0$$ u ϕ = 0 on the flow torodial velocity, located out of the BH ergoregion, and totally embedding the BH. They emerge as a necessary condition, related to the spacetime frame-dragging, for the counter-rotating flows into the central Kerr BH. In our analysis we study the inversion surfaces of the Kerr spacetimes for the counter-rotating flow from the outer torus, impacting on the inner co-rotating disk. Being totally or partially embedded in (internal to) the inversion surfaces, the inner co-rotating torus (or jet) could be totally or in part “shielded”, respectively, from the impact with flow with $$a u^{\phi }<0$$ a u ϕ < 0 . We prove that, in general, in the spacetimes with $$a<0.551$$ a < 0.551 the co-rotating toroids are always external to the accretion flows inversion surfaces. For $$0.551<a<0.886$$ 0.551 < a < 0.886 , co-rotating toroids could be partially internal (with the disk inner region, including the inner edge) in the flow inversion surface. For BHs with $$a>0.886$$ a > 0.886 , a co-rotating torus could be entirely embedded in the inversion surface and, for larger spins, it is internal to the inversion surfaces. Tori orbiting in the BH outer ergoregion are a particular case. Further constraints on the BHs spins are discussed in the article.https://doi.org/10.1140/epjc/s10052-024-13457-3 |
| spellingShingle | D. Pugliese Z. Stuchlík Inter-disks inversion surfaces European Physical Journal C: Particles and Fields |
| title | Inter-disks inversion surfaces |
| title_full | Inter-disks inversion surfaces |
| title_fullStr | Inter-disks inversion surfaces |
| title_full_unstemmed | Inter-disks inversion surfaces |
| title_short | Inter-disks inversion surfaces |
| title_sort | inter disks inversion surfaces |
| url | https://doi.org/10.1140/epjc/s10052-024-13457-3 |
| work_keys_str_mv | AT dpugliese interdisksinversionsurfaces AT zstuchlik interdisksinversionsurfaces |