Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910335617728512 |
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| author | Albertini, Angelica Gamba, Rossella Nagar, Alessandro Bernuzzi, Sebastiano |
| author_facet | Albertini, Angelica Gamba, Rossella Nagar, Alessandro Bernuzzi, Sebastiano |
| contents | We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model extends TEOBResumS-Dalí for these binaries by (i) recasting conservative first-order gravitational self-force (1GSF) information in the resummed EOB potentials; (ii) employing a post-Newtonian (PN) $3^{+19}$PN-accurate (3PN comparable-mass terms hybridized with test-particle terms up to 22PN relative order) expression for the gravitational-wave flux at infinity; (iii) using an improved implementation of the horizon flux that better approximates its test-mass representation. With respect to our previous work [Phys. Rev. D 106 (2022) 8, 084062], we demonstrate that the inclusion of the $3^{+19}$PN-accurate $\ell=9$ and $\ell=10$ modes in the flux at infinity significantly improves the model's agreement with second-order accurate GSF (2GSF) circular waveforms. For a standard EMRI with mass ratio $q \equiv m_1/m_2 = 5 \times 10^4$ and $m_2 = 10 M_\odot$, the accumulated EOB/2GSF dephasing is $\lesssim $ rad for $\sim 1$ yr of evolution, which is consistent with the standard accuracy requirements for EMRIs. We also showcase the generation of eccentric and spinning waveforms and discuss future extensions of our EOB towards a physically complete model for EMRIs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13578 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity Albertini, Angelica Gamba, Rossella Nagar, Alessandro Bernuzzi, Sebastiano General Relativity and Quantum Cosmology We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model extends TEOBResumS-Dalí for these binaries by (i) recasting conservative first-order gravitational self-force (1GSF) information in the resummed EOB potentials; (ii) employing a post-Newtonian (PN) $3^{+19}$PN-accurate (3PN comparable-mass terms hybridized with test-particle terms up to 22PN relative order) expression for the gravitational-wave flux at infinity; (iii) using an improved implementation of the horizon flux that better approximates its test-mass representation. With respect to our previous work [Phys. Rev. D 106 (2022) 8, 084062], we demonstrate that the inclusion of the $3^{+19}$PN-accurate $\ell=9$ and $\ell=10$ modes in the flux at infinity significantly improves the model's agreement with second-order accurate GSF (2GSF) circular waveforms. For a standard EMRI with mass ratio $q \equiv m_1/m_2 = 5 \times 10^4$ and $m_2 = 10 M_\odot$, the accumulated EOB/2GSF dephasing is $\lesssim $ rad for $\sim 1$ yr of evolution, which is consistent with the standard accuracy requirements for EMRIs. We also showcase the generation of eccentric and spinning waveforms and discuss future extensions of our EOB towards a physically complete model for EMRIs. |
| title | Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.13578 |