Observability of gravitational waves excited by binary stars orbiting around a supermassive black hole by space-based gravitational wave observatory

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Autori principali: Meng, Kun, Zhang, Hongsheng, Fan, Xi-Long, Yong, Yuan, Du, Fei
Natura: Preprint
Pubblicazione: 2024
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author Meng, Kun
Zhang, Hongsheng
Fan, Xi-Long
Yong, Yuan
Du, Fei
author_facet Meng, Kun
Zhang, Hongsheng
Fan, Xi-Long
Yong, Yuan
Du, Fei
contents We produce the gravitational waveforms for the extreme mass ratio inspiral systems (EMRIs) of binary stars moving around central supermassive black hole (SBH), or called B-EMRIs. We calculate the external orbits of the binary stars via the commonly used Hamilton-Jacobi (HJ) approach, and calculate the internal orbits of the binary stars via Lagrangian approach. To improve accuracy we adopt the quadrupole-octupole expression of gravitational wave (GW) and study the contribution of radiation reaction. Compared to the waveforms of EMRIs, there are higher frequency oscillations superposed on the waveforms of B-EMRIs. We perform frequency spectrum analysis of the GW waveforms, and find that higher frequency signals give their prominency in the waveforms of B-EMRIs. To obtain high precise result for future observation of GWs from space-based detector, we take into account gravito-electromagnetic (GEM) force, and compare the waveforms of B-EMRIs with GEM effects against those of B-EMRIs without GEM effects and against those of EMRIs. The result of mismatch shows that the waveforms of B-EMRIs are credibly distinguishable by the space-based GW detectors when GEM force is considered.
format Preprint
id arxiv_https___arxiv_org_abs_2405_07113
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observability of gravitational waves excited by binary stars orbiting around a supermassive black hole by space-based gravitational wave observatory
Meng, Kun
Zhang, Hongsheng
Fan, Xi-Long
Yong, Yuan
Du, Fei
General Relativity and Quantum Cosmology
We produce the gravitational waveforms for the extreme mass ratio inspiral systems (EMRIs) of binary stars moving around central supermassive black hole (SBH), or called B-EMRIs. We calculate the external orbits of the binary stars via the commonly used Hamilton-Jacobi (HJ) approach, and calculate the internal orbits of the binary stars via Lagrangian approach. To improve accuracy we adopt the quadrupole-octupole expression of gravitational wave (GW) and study the contribution of radiation reaction. Compared to the waveforms of EMRIs, there are higher frequency oscillations superposed on the waveforms of B-EMRIs. We perform frequency spectrum analysis of the GW waveforms, and find that higher frequency signals give their prominency in the waveforms of B-EMRIs. To obtain high precise result for future observation of GWs from space-based detector, we take into account gravito-electromagnetic (GEM) force, and compare the waveforms of B-EMRIs with GEM effects against those of B-EMRIs without GEM effects and against those of EMRIs. The result of mismatch shows that the waveforms of B-EMRIs are credibly distinguishable by the space-based GW detectors when GEM force is considered.
title Observability of gravitational waves excited by binary stars orbiting around a supermassive black hole by space-based gravitational wave observatory
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2405.07113