Strong deflection of massive particles in spherically symmetric spacetimes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915852496928768 |
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| author | Feleppa, Fabiano Bozza, Valerio Tsupko, Oleg Yu. |
| author_facet | Feleppa, Fabiano Bozza, Valerio Tsupko, Oleg Yu. |
| contents | Near a gravitating compact object, massive particles traveling along timelike geodesics are gravitationally deflected similarly to light. In this paper, we study the deflection angles of these particles in the strong deflection limit. This analytical approximation applies when particles in unbound orbits approach the compact object very closely, circle around it at a radius close to that of the unstable circular orbit, and eventually escape. While previous studies have provided results for particular metrics, we offer a general solution applicable to any static, spherically symmetric and asymptotically flat spacetime. After briefly reviewing the exact expression for the deflection angle of massive particles, we present a strong deflection limit analysis for this general case. The developed formulas are then applied to three particular metrics: Schwarzschild, Reissner-Nordström and Janis-Newman-Winicour. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong deflection of massive particles in spherically symmetric spacetimes Feleppa, Fabiano Bozza, Valerio Tsupko, Oleg Yu. General Relativity and Quantum Cosmology Near a gravitating compact object, massive particles traveling along timelike geodesics are gravitationally deflected similarly to light. In this paper, we study the deflection angles of these particles in the strong deflection limit. This analytical approximation applies when particles in unbound orbits approach the compact object very closely, circle around it at a radius close to that of the unstable circular orbit, and eventually escape. While previous studies have provided results for particular metrics, we offer a general solution applicable to any static, spherically symmetric and asymptotically flat spacetime. After briefly reviewing the exact expression for the deflection angle of massive particles, we present a strong deflection limit analysis for this general case. The developed formulas are then applied to three particular metrics: Schwarzschild, Reissner-Nordström and Janis-Newman-Winicour. |
| title | Strong deflection of massive particles in spherically symmetric spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.16712 |