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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2401.12525 |
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| _version_ | 1866910310326075392 |
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| author | Li, Zonghai |
| author_facet | Li, Zonghai |
| contents | In this paper, we introduce a method for calculating the deflection angle in the weak-field approximation, applicable to both null and timelike rays. By combining the trajectory equation $\mathcal{Z}(u)=(du/dϕ)^2$ and the `straight line' $u(φ)={\sinφ}/b$, we introduce a new function $Φ(φ)$. The deflection angle can then be expressed as $δ=Φ(0)+Φ(π)-π$, which directly depends on the impact parameter rather than the closest approach distance. This method offers a convenient and straightforward approach to calculations, avoiding the complexities of integration or iterative procedures. As an illustrative application, we compute the deflection angle for charged particle in the Kerr-Newman spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Novel Method for Calculating Deflection Angle Li, Zonghai General Relativity and Quantum Cosmology In this paper, we introduce a method for calculating the deflection angle in the weak-field approximation, applicable to both null and timelike rays. By combining the trajectory equation $\mathcal{Z}(u)=(du/dϕ)^2$ and the `straight line' $u(φ)={\sinφ}/b$, we introduce a new function $Φ(φ)$. The deflection angle can then be expressed as $δ=Φ(0)+Φ(π)-π$, which directly depends on the impact parameter rather than the closest approach distance. This method offers a convenient and straightforward approach to calculations, avoiding the complexities of integration or iterative procedures. As an illustrative application, we compute the deflection angle for charged particle in the Kerr-Newman spacetime. |
| title | A Novel Method for Calculating Deflection Angle |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.12525 |