Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914804239695872 |
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| author | Li, Zhao Qiao, Jin Liu, Tan Niu, Rui Hou, Shaoqi Zhu, Tao Zhao, Wen |
| author_facet | Li, Zhao Qiao, Jin Liu, Tan Niu, Rui Hou, Shaoqi Zhu, Tao Zhao, Wen |
| contents | Dynamical Chern-Simons (DCS) gravity, a typical parity-violating gravitational theory, modifies both the generation and propagation of gravitational waves from general relativity (GR). In this work, we derive the gravitational waveform radiated from a binary black hole system with eccentric orbits under the spin-aligned assumption in the DCS theory. Compared with GR, DCS modification enters the second-order post-Newtonian (2PN) approximation, affecting the spin-spin coupling and monopole-quadrupole coupling of binary motion. This modification produces an extra precession rate of periastron. This effect modulates the scalar and gravitational waveform through a quite low frequency. Additionally, the dissipation of conserved quantities results in the secular evolution of the semimajor axis and the eccentricity of binary orbits. Finally, the frequency-domain waveform is given in the post-circular scheme, requiring the initial eccentricity to be $\lesssim0.3$. This ready-to-use template will benefit the signal searches and improve the future constraint on DCS theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_05991 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity Li, Zhao Qiao, Jin Liu, Tan Niu, Rui Hou, Shaoqi Zhu, Tao Zhao, Wen General Relativity and Quantum Cosmology Dynamical Chern-Simons (DCS) gravity, a typical parity-violating gravitational theory, modifies both the generation and propagation of gravitational waves from general relativity (GR). In this work, we derive the gravitational waveform radiated from a binary black hole system with eccentric orbits under the spin-aligned assumption in the DCS theory. Compared with GR, DCS modification enters the second-order post-Newtonian (2PN) approximation, affecting the spin-spin coupling and monopole-quadrupole coupling of binary motion. This modification produces an extra precession rate of periastron. This effect modulates the scalar and gravitational waveform through a quite low frequency. Additionally, the dissipation of conserved quantities results in the secular evolution of the semimajor axis and the eccentricity of binary orbits. Finally, the frequency-domain waveform is given in the post-circular scheme, requiring the initial eccentricity to be $\lesssim0.3$. This ready-to-use template will benefit the signal searches and improve the future constraint on DCS theory. |
| title | Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2309.05991 |