arXiv
Open Access
2024
A Novel Method for Calculating Deflection Angle
Zonghai Li
Abstrak
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' $u(\varphi)={\sin\varphi}/b$, we introduce a new function $Φ(\varphi)$. 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.
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Zonghai Li
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Informasi Jurnal
- Tahun Terbit
- 2024
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- en
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- arXiv
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- Open Access ✓