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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.16742 |
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| _version_ | 1866913517454491648 |
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| author | Fontbuté, Joan Andrade, Tomas Luna, Raimon Bustillo, Juan Calderón Morrás, Gonzalo Jaraba, Santiago García-Bellido, Juan Izquierdo, Germán López |
| author_facet | Fontbuté, Joan Andrade, Tomas Luna, Raimon Bustillo, Juan Calderón Morrás, Gonzalo Jaraba, Santiago García-Bellido, Juan Izquierdo, Germán López |
| contents | We present a surrogate numerical-relativity model for close hyperbolic black-hole encounters with equal masses and spins aligned with the orbital momentum. Our model, generated in terms of the Newman-Penrose scalar $ψ_4$, spans impact parameters $b/M\in [11, 15]$ and spin components $χ_{i} \in [-0.5,0.5]$, modeling the $(\ell,m)=(2,0)$, $(2, \pm 2)$, $(3,\pm 2)$ and $(4,\pm 4)$ emission multipoles. The model is faithful to numerical relativity simulations, yielding mismatches lower than $10^{-3}$. We test the ability of our model to recover the parameters of numerically simulated signals. We find that, despite the high accuracy of the model, parameter inference struggles to correctly capture the parameters of the source even for SNRs as large as 50 due to the strong degeneracies present in the parameter space. This indicates that correctly identifying these systems will require of extremely large signal loudness, only typical of third generation detectors. Nevertheless, we also find that, if one attempts to infer certain combinations of such degenerated parameters, there might be a chance to prove the existence of this type of events, even with the current ground-based detectors, as long as these combinations make sense astrophysically and cosmologically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A numerical-relativity surrogate model for hyperbolic encounters of black holes: challenges in parameter estimation Fontbuté, Joan Andrade, Tomas Luna, Raimon Bustillo, Juan Calderón Morrás, Gonzalo Jaraba, Santiago García-Bellido, Juan Izquierdo, Germán López General Relativity and Quantum Cosmology We present a surrogate numerical-relativity model for close hyperbolic black-hole encounters with equal masses and spins aligned with the orbital momentum. Our model, generated in terms of the Newman-Penrose scalar $ψ_4$, spans impact parameters $b/M\in [11, 15]$ and spin components $χ_{i} \in [-0.5,0.5]$, modeling the $(\ell,m)=(2,0)$, $(2, \pm 2)$, $(3,\pm 2)$ and $(4,\pm 4)$ emission multipoles. The model is faithful to numerical relativity simulations, yielding mismatches lower than $10^{-3}$. We test the ability of our model to recover the parameters of numerically simulated signals. We find that, despite the high accuracy of the model, parameter inference struggles to correctly capture the parameters of the source even for SNRs as large as 50 due to the strong degeneracies present in the parameter space. This indicates that correctly identifying these systems will require of extremely large signal loudness, only typical of third generation detectors. Nevertheless, we also find that, if one attempts to infer certain combinations of such degenerated parameters, there might be a chance to prove the existence of this type of events, even with the current ground-based detectors, as long as these combinations make sense astrophysically and cosmologically. |
| title | A numerical-relativity surrogate model for hyperbolic encounters of black holes: challenges in parameter estimation |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.16742 |