Towards efficient Effective One Body models for generic, non-planar orbits
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910501898813440 |
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| author | Gamba, Rossella Chiaramello, Danilo Neogi, Sayan |
| author_facet | Gamba, Rossella Chiaramello, Danilo Neogi, Sayan |
| contents | Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain the evolution of the spin vectors and of the orbital angular momentum along non-circularized orbits, that can be applied to any eccentric aligned-spins waveform model. The scheme employed is motivated by insights gained from the post-Newtonian (PN) regime. We investigate the phenomenology of the Euler angles characterizing the time-dependent rotation that connects the co-precessing frame to the inertial one, gauging the importance of non-circular terms in the evolution of the spins of a precessing binary. We demonstrate that such terms are largely negligible, irrespectively of the details of the orbit. Such insights are confirmed by studying the radiation-frame of a few eccentric, precessing numerical relativity (NR) simulations. Our investigations confirm that the usual "twisting" technique employed for quasi-spherical systems can be safely applied to non-circularized binaries. By then augmenting a state-of-the-art Effective-One-Body (EOB) model for non-circular planar orbits with the prescription discussed, we obtain an inspiral-merger-ringdown (IMR) model for eccentric, precessing binary black holes (BBHs). We validate the model in the quasi-spherical limit via mismatches and present one phasing comparison against a precessing, eccentric simulation from the RIT catalog. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards efficient Effective One Body models for generic, non-planar orbits Gamba, Rossella Chiaramello, Danilo Neogi, Sayan General Relativity and Quantum Cosmology Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain the evolution of the spin vectors and of the orbital angular momentum along non-circularized orbits, that can be applied to any eccentric aligned-spins waveform model. The scheme employed is motivated by insights gained from the post-Newtonian (PN) regime. We investigate the phenomenology of the Euler angles characterizing the time-dependent rotation that connects the co-precessing frame to the inertial one, gauging the importance of non-circular terms in the evolution of the spins of a precessing binary. We demonstrate that such terms are largely negligible, irrespectively of the details of the orbit. Such insights are confirmed by studying the radiation-frame of a few eccentric, precessing numerical relativity (NR) simulations. Our investigations confirm that the usual "twisting" technique employed for quasi-spherical systems can be safely applied to non-circularized binaries. By then augmenting a state-of-the-art Effective-One-Body (EOB) model for non-circular planar orbits with the prescription discussed, we obtain an inspiral-merger-ringdown (IMR) model for eccentric, precessing binary black holes (BBHs). We validate the model in the quasi-spherical limit via mismatches and present one phasing comparison against a precessing, eccentric simulation from the RIT catalog. |
| title | Towards efficient Effective One Body models for generic, non-planar orbits |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.15408 |