Angular Momentum Flux in Scalar-Tensor Theories up to 1.5 post-Newtonian Order
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929421447856128 |
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| author | Jain, Tamanna Rettegno, Piero |
| author_facet | Jain, Tamanna Rettegno, Piero |
| contents | We compute the angular momentum flux from a non-circular nonspinning binary system of compact objects in massless scalar-tensor theories up to one and a half post-Newtonian (1.5PN) order using multipole moments. The angular momentum flux in scalar-tensor theories involves both a tensorial and a scalar contribution which can be further decomposed as instantaneous, tail and non-linear memory effects up to 1.5PN order. We compute the explicit expressions of tail effects using the Fourier decomposition of tensorial and scalar multipole moments, and non-linear memory effects using the Newtonian order quasi-Keplerian representation of elliptic orbits in scalar-tensor theories. This work is important to construct the radiation-reaction force and hence the waveform templates for eccentric binaries in scalar-tensor theories of gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10908 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Angular Momentum Flux in Scalar-Tensor Theories up to 1.5 post-Newtonian Order Jain, Tamanna Rettegno, Piero General Relativity and Quantum Cosmology We compute the angular momentum flux from a non-circular nonspinning binary system of compact objects in massless scalar-tensor theories up to one and a half post-Newtonian (1.5PN) order using multipole moments. The angular momentum flux in scalar-tensor theories involves both a tensorial and a scalar contribution which can be further decomposed as instantaneous, tail and non-linear memory effects up to 1.5PN order. We compute the explicit expressions of tail effects using the Fourier decomposition of tensorial and scalar multipole moments, and non-linear memory effects using the Newtonian order quasi-Keplerian representation of elliptic orbits in scalar-tensor theories. This work is important to construct the radiation-reaction force and hence the waveform templates for eccentric binaries in scalar-tensor theories of gravity. |
| title | Angular Momentum Flux in Scalar-Tensor Theories up to 1.5 post-Newtonian Order |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.10908 |