Lensing Fingerprints of Scalar Hair and Broken Symmetries via Three Semi-Analytical Methods
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| author | Övgün, Ali Pantig, Reggie C. |
| author_facet | Övgün, Ali Pantig, Reggie C. |
| contents | We present a detailed derivation of the weak-field deflection of light in the scalar hairy black hole spacetime with scalar charge $Q_s$ and bumblebee gravity black hole spacetime, characterized by a Lorentz-violating parameter $\ell$. Starting from the metric, we derive the photon orbit equation up to second order in the small parameters $M/b$, $Q_s$ or $\ell$. Then we derive the weak-field deflection angle via three independent semi-analytical techniques- (1) Homotopy-Perturbation Method, (2) Variational Iteration Method, (3) Single-Impulse (Transverse-Kick) Method-are each applied in full detail. We demonstrate exact agreement among these approaches and discuss their relative computational efficiencies, thereby offering diverse tools for lensing calculations in spherically symmetric spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16512 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lensing Fingerprints of Scalar Hair and Broken Symmetries via Three Semi-Analytical Methods Övgün, Ali Pantig, Reggie C. General Relativity and Quantum Cosmology We present a detailed derivation of the weak-field deflection of light in the scalar hairy black hole spacetime with scalar charge $Q_s$ and bumblebee gravity black hole spacetime, characterized by a Lorentz-violating parameter $\ell$. Starting from the metric, we derive the photon orbit equation up to second order in the small parameters $M/b$, $Q_s$ or $\ell$. Then we derive the weak-field deflection angle via three independent semi-analytical techniques- (1) Homotopy-Perturbation Method, (2) Variational Iteration Method, (3) Single-Impulse (Transverse-Kick) Method-are each applied in full detail. We demonstrate exact agreement among these approaches and discuss their relative computational efficiencies, thereby offering diverse tools for lensing calculations in spherically symmetric spacetimes. |
| title | Lensing Fingerprints of Scalar Hair and Broken Symmetries via Three Semi-Analytical Methods |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.16512 |