Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states
Abstract In this paper, our aim is to extend our earlier work [Ahmed et al. in Eur. Phys. J. C 76:280, 2016], investigating an axisymmetric plasma flow with angular momentum onto a spherical black hole. To accomplish that goal, we focus on the case in which the ideal magnetohydrodynamic approximatio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13491-1 |
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| author | Mustapha Azreg-Aïnou Mubasher Jamil Sousuke Noda |
| author_facet | Mustapha Azreg-Aïnou Mubasher Jamil Sousuke Noda |
| author_sort | Mustapha Azreg-Aïnou |
| collection | DOAJ |
| description | Abstract In this paper, our aim is to extend our earlier work [Ahmed et al. in Eur. Phys. J. C 76:280, 2016], investigating an axisymmetric plasma flow with angular momentum onto a spherical black hole. To accomplish that goal, we focus on the case in which the ideal magnetohydrodynamic approximation is valid, utilizing certain conservation laws which arise from particular symmetries of the system. After formulating a Hamiltonian of the physical system, we solve the Hamilton equations and look for critical solutions of (both in and out) flows. Reflecting the difference from the Schwarzschild spacetime, the positions of sonic points (fast magnetosonic point, slow magnetosonic point, Alfvén point) are altered. We explore several kinds of flows including critical, non-critical, global, magnetically arrested and shock induced. Lastly, we analyze the shock states near a specific quantum corrected Schwarzschild black hole and determine that quantum effects do not favor shock states by pushing the shock location outward. |
| format | Article |
| id | doaj-art-937e4f255b1c43dd9940b7bfa036881a |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-937e4f255b1c43dd9940b7bfa036881a2024-12-29T12:44:02ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841111410.1140/epjc/s10052-024-13491-1Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock statesMustapha Azreg-Aïnou0Mubasher Jamil1Sousuke Noda2Engineering Faculty, Bağlica Campus, Başkent UniversitySchool of Natural Sciences, National University of Sciences and Technology, H-12Miyakonojo College, National Institute of TechnologyAbstract In this paper, our aim is to extend our earlier work [Ahmed et al. in Eur. Phys. J. C 76:280, 2016], investigating an axisymmetric plasma flow with angular momentum onto a spherical black hole. To accomplish that goal, we focus on the case in which the ideal magnetohydrodynamic approximation is valid, utilizing certain conservation laws which arise from particular symmetries of the system. After formulating a Hamiltonian of the physical system, we solve the Hamilton equations and look for critical solutions of (both in and out) flows. Reflecting the difference from the Schwarzschild spacetime, the positions of sonic points (fast magnetosonic point, slow magnetosonic point, Alfvén point) are altered. We explore several kinds of flows including critical, non-critical, global, magnetically arrested and shock induced. Lastly, we analyze the shock states near a specific quantum corrected Schwarzschild black hole and determine that quantum effects do not favor shock states by pushing the shock location outward.https://doi.org/10.1140/epjc/s10052-024-13491-1 |
| spellingShingle | Mustapha Azreg-Aïnou Mubasher Jamil Sousuke Noda Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states European Physical Journal C: Particles and Fields |
| title | Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states |
| title_full | Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states |
| title_fullStr | Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states |
| title_full_unstemmed | Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states |
| title_short | Hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole: quantum effects on shock states |
| title_sort | hamiltonian formulation of relativistic magnetohydrodynamic accretion on a general spherically symmetric and static black hole quantum effects on shock states |
| url | https://doi.org/10.1140/epjc/s10052-024-13491-1 |
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