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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.23871 |
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| _version_ | 1866912795176468480 |
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| author | Junior, Sidney Natzuka |
| author_facet | Junior, Sidney Natzuka |
| contents | We calculate, up to the first-order in the black hole spin, the perihelion precession of a test particle in the equatorial plane of a Kerr black hole using the perturbative Laplace-Runge-Lenz (LRL) vector method. To account for the dragging of inertial frames, we modify the LRL vector by incorporating a counteracting term in the angular momentum, which preserves the Keplerian orbit form to first order. We derive the standard Lense-Thirring precession result, leading to a transparent reinterpretation of known results, clarifying the role of frame dragging in LRL-based perturbation methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kerr Perihelion Precession via the Laplace-Runge-Lenz Vector Method Junior, Sidney Natzuka General Relativity and Quantum Cosmology 83C10 We calculate, up to the first-order in the black hole spin, the perihelion precession of a test particle in the equatorial plane of a Kerr black hole using the perturbative Laplace-Runge-Lenz (LRL) vector method. To account for the dragging of inertial frames, we modify the LRL vector by incorporating a counteracting term in the angular momentum, which preserves the Keplerian orbit form to first order. We derive the standard Lense-Thirring precession result, leading to a transparent reinterpretation of known results, clarifying the role of frame dragging in LRL-based perturbation methods. |
| title | Kerr Perihelion Precession via the Laplace-Runge-Lenz Vector Method |
| topic | General Relativity and Quantum Cosmology 83C10 |
| url | https://arxiv.org/abs/2512.23871 |