Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Faggioli, Guglielmo van de Meent, Maarten Buonanno, Alessandra Khanna, Gaurav |
| author_facet | Faggioli, Guglielmo van de Meent, Maarten Buonanno, Alessandra Khanna, Gaurav |
| contents | We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The waveforms are generated employing a time-domain Teukolsky code. We span different values of the Kerr spin $-0.99 \le a \le 0.99 $ and of the critical eccentricity $e_c$, for bound ($0 \le e_c<1$) and unbound plunges ($e_c \ge 1$). We find that, contrary to expectations, the waveform modes $h_{\ell m}$ do not always manifest a peak for high eccentricities or spins. In case of the dominant $h_{22}$ mode, we determine the precise region of the parameter space in which its peak exists. In this region, we provide a characterization of the merger quantities of the $h_{22}$ mode and of the higher-order modes, providing the merger structure of the equatorial eccentric plunges of the Kerr spacetime in the test-mass limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05870 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes Faggioli, Guglielmo van de Meent, Maarten Buonanno, Alessandra Khanna, Gaurav General Relativity and Quantum Cosmology We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The waveforms are generated employing a time-domain Teukolsky code. We span different values of the Kerr spin $-0.99 \le a \le 0.99 $ and of the critical eccentricity $e_c$, for bound ($0 \le e_c<1$) and unbound plunges ($e_c \ge 1$). We find that, contrary to expectations, the waveform modes $h_{\ell m}$ do not always manifest a peak for high eccentricities or spins. In case of the dominant $h_{22}$ mode, we determine the precise region of the parameter space in which its peak exists. In this region, we provide a characterization of the merger quantities of the $h_{22}$ mode and of the higher-order modes, providing the merger structure of the equatorial eccentric plunges of the Kerr spacetime in the test-mass limit. |
| title | Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.05870 |