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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20432 |
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| _version_ | 1866914406596608000 |
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| author | Placidi, Andrea Grilli, Elisa Orselli, Marta Pegorin, Matteo Bartolo, Nicola Mastrolia, Pierpaolo |
| author_facet | Placidi, Andrea Grilli, Elisa Orselli, Marta Pegorin, Matteo Bartolo, Nicola Mastrolia, Pierpaolo |
| contents | We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order (2PN), combining Effective Field Theory and classical methods. We compute the NNLO conservative Lagrangian, LO dissipative effects in harmonic and Lorenz gauges, and provide the equations of motion, center-of-mass transformations, and the Lagrangian/Hamiltonian in ADM-type coordinates. We also obtain gauge-invariant expressions for the binding energy, periastron advance in quasi-circular orbits, and the scattering angle in unbound orbits. Our results extend previous analyses and are fully consistent with recent post-Minkowskian findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Charged Black-Hole Binary Evolution at Second Post-Newtonian Order Placidi, Andrea Grilli, Elisa Orselli, Marta Pegorin, Matteo Bartolo, Nicola Mastrolia, Pierpaolo High Energy Physics - Theory General Relativity and Quantum Cosmology We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order (2PN), combining Effective Field Theory and classical methods. We compute the NNLO conservative Lagrangian, LO dissipative effects in harmonic and Lorenz gauges, and provide the equations of motion, center-of-mass transformations, and the Lagrangian/Hamiltonian in ADM-type coordinates. We also obtain gauge-invariant expressions for the binding energy, periastron advance in quasi-circular orbits, and the scattering angle in unbound orbits. Our results extend previous analyses and are fully consistent with recent post-Minkowskian findings. |
| title | Charged Black-Hole Binary Evolution at Second Post-Newtonian Order |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.20432 |