Absorptive Effects in Black Hole Scattering
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917899049893888 |
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| author | Bautista, Yilber Fabian Huang, Yu-Tin Kim, Jung-Wook |
| author_facet | Bautista, Yilber Fabian Huang, Yu-Tin Kim, Jung-Wook |
| contents | In this paper we define absorptive Compton amplitudes, which captures the absorption factor for waves of spin-weight-$s$ scattering in black hole perturbation theory. At the leading order, in the $G M ω$ expansion, such amplitudes are purely imaginary and expressible as contact terms. Equipped with these amplitudes we compute the mass change in black hole scattering events via Kosower-Maybee-O'Connell formalism, where the rest mass of Schwarzschild/Kerr black hole is modified due to absorption of gravitational, electromagnetic, or scalar fields sourced by other compact object. We reproduced the power loss previously computed in the post-Newtonian expansion. The results presented here hold for similar mass ratios and generic spin orientation, while keeping the Kerr spin parameter to lie in the physical region $χ\le 1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_03382 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absorptive Effects in Black Hole Scattering Bautista, Yilber Fabian Huang, Yu-Tin Kim, Jung-Wook High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper we define absorptive Compton amplitudes, which captures the absorption factor for waves of spin-weight-$s$ scattering in black hole perturbation theory. At the leading order, in the $G M ω$ expansion, such amplitudes are purely imaginary and expressible as contact terms. Equipped with these amplitudes we compute the mass change in black hole scattering events via Kosower-Maybee-O'Connell formalism, where the rest mass of Schwarzschild/Kerr black hole is modified due to absorption of gravitational, electromagnetic, or scalar fields sourced by other compact object. We reproduced the power loss previously computed in the post-Newtonian expansion. The results presented here hold for similar mass ratios and generic spin orientation, while keeping the Kerr spin parameter to lie in the physical region $χ\le 1$. |
| title | Absorptive Effects in Black Hole Scattering |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.03382 |