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| Autori principali: | , , , |
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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2407.04975 |
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| _version_ | 1866908314275676160 |
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| author | Kerner, Richard Koekoek, Gideon Schuring, Julia van Holten, Jan-Willem |
| author_facet | Kerner, Richard Koekoek, Gideon Schuring, Julia van Holten, Jan-Willem |
| contents | To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to vanish at infinity. A full set of solutions is obtained, describing axially symmetric magnetic fields, supplemented by axial electric fields in the case of non-vanishing rotation of the gravitational background. We study the motion of charged test particles in these combined gravitational and electromagnetic fields, in particular considering the conditions for circular equatorial orbits. Such orbits always exist in odd-multipole magnetic fields, and they can exist for particular radii in a combination of two or more even-multipole magnetic fields. Combinations of several odd-multipole fields can give rise to radial variation in the field orientation and the direction of motion of charged particles. Deviations from circularity are described using a perturbative approach. This also allows to study the stability of the parent circular orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04975 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polar magnetic fields in black-hole space-times Kerner, Richard Koekoek, Gideon Schuring, Julia van Holten, Jan-Willem General Relativity and Quantum Cosmology To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to vanish at infinity. A full set of solutions is obtained, describing axially symmetric magnetic fields, supplemented by axial electric fields in the case of non-vanishing rotation of the gravitational background. We study the motion of charged test particles in these combined gravitational and electromagnetic fields, in particular considering the conditions for circular equatorial orbits. Such orbits always exist in odd-multipole magnetic fields, and they can exist for particular radii in a combination of two or more even-multipole magnetic fields. Combinations of several odd-multipole fields can give rise to radial variation in the field orientation and the direction of motion of charged particles. Deviations from circularity are described using a perturbative approach. This also allows to study the stability of the parent circular orbits. |
| title | Polar magnetic fields in black-hole space-times |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.04975 |