Modified light-cylinder and centrifugal acceleration in Schwarzschild geometry
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918264989286400 |
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| author | Kurtskhalia, Nikoloz Maltsev, Nikolai Osmanov, Zaza N. |
| author_facet | Kurtskhalia, Nikoloz Maltsev, Nikolai Osmanov, Zaza N. |
| contents | We examine the motion of an electron constrained to follow a magnetic field line near a primordial sub-stellar mass black hole. Earlier studies treated the problem in flat (Minkowski) spacetime, yielding qualitatively correct results and introducing a light cylinder (LC), a hypothetical surface where the linear velocity of rotation equals the speed of light. However, this picture changes significantly when gravity is included. By analyzing the electron's dynamics in the Schwarzschild metric, we obtain a modified light cylinder (MLC) whose geometry no longer resembles a cylinder. We then determine the maximum energies attainable by the electrons under the limiting effects of inverse Compton scattering, curvature radiation, and synchrotron radiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modified light-cylinder and centrifugal acceleration in Schwarzschild geometry Kurtskhalia, Nikoloz Maltsev, Nikolai Osmanov, Zaza N. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena 83C05, 83C75, 83C57 We examine the motion of an electron constrained to follow a magnetic field line near a primordial sub-stellar mass black hole. Earlier studies treated the problem in flat (Minkowski) spacetime, yielding qualitatively correct results and introducing a light cylinder (LC), a hypothetical surface where the linear velocity of rotation equals the speed of light. However, this picture changes significantly when gravity is included. By analyzing the electron's dynamics in the Schwarzschild metric, we obtain a modified light cylinder (MLC) whose geometry no longer resembles a cylinder. We then determine the maximum energies attainable by the electrons under the limiting effects of inverse Compton scattering, curvature radiation, and synchrotron radiation. |
| title | Modified light-cylinder and centrifugal acceleration in Schwarzschild geometry |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena 83C05, 83C75, 83C57 |
| url | https://arxiv.org/abs/2512.16337 |