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Autori principali: Dang, Yixuan, Wang, Ziming, Liang, Dicong, Shao, Lijing
Natura: Preprint
Pubblicazione: 2023
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Accesso online:https://arxiv.org/abs/2311.16184
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author Dang, Yixuan
Wang, Ziming
Liang, Dicong
Shao, Lijing
author_facet Dang, Yixuan
Wang, Ziming
Liang, Dicong
Shao, Lijing
contents Gravitational waves have been instrumental in providing deep insights into the nature of gravity. Next-generation detectors, such as the Einstein Telescope, are predicted to have a higher detection rate given the increased sensitivity and lower cut-off frequency. However, this increased sensitivity raises challenges concerning parameter estimation due to the foreseeable overlap of signals from multiple sources. Overlapping signals (OSs), if not properly identified, may introduce biases in estimating post-Newtonian (PN) coefficients in parameterized tests of general relativity (GR). We investigate how OSs affect $-1$PN to 2PN terms in parameterized GR tests, examining their potential to falsely suggest GR deviations. We estimate the prevalence of such misleading signals in next-generation detectors, and their collective influence on GR tests. We compare the effects of OSs on coefficients at different PN orders, concluding that overall the 1PN coefficient suffers the most. Our findings also reveal that while a non-negligible portion of OSs exhibit biases in PN coefficients that might individually prefer to conclude deviations from GR, collectively, the direction to deviate is random and a statistical combination will still be in favor of GR.
format Preprint
id arxiv_https___arxiv_org_abs_2311_16184
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Impact of overlapping signals on parameterized post-Newtonian coefficients in tests of gravity
Dang, Yixuan
Wang, Ziming
Liang, Dicong
Shao, Lijing
Instrumentation and Methods for Astrophysics
General Relativity and Quantum Cosmology
Gravitational waves have been instrumental in providing deep insights into the nature of gravity. Next-generation detectors, such as the Einstein Telescope, are predicted to have a higher detection rate given the increased sensitivity and lower cut-off frequency. However, this increased sensitivity raises challenges concerning parameter estimation due to the foreseeable overlap of signals from multiple sources. Overlapping signals (OSs), if not properly identified, may introduce biases in estimating post-Newtonian (PN) coefficients in parameterized tests of general relativity (GR). We investigate how OSs affect $-1$PN to 2PN terms in parameterized GR tests, examining their potential to falsely suggest GR deviations. We estimate the prevalence of such misleading signals in next-generation detectors, and their collective influence on GR tests. We compare the effects of OSs on coefficients at different PN orders, concluding that overall the 1PN coefficient suffers the most. Our findings also reveal that while a non-negligible portion of OSs exhibit biases in PN coefficients that might individually prefer to conclude deviations from GR, collectively, the direction to deviate is random and a statistical combination will still be in favor of GR.
title Impact of overlapping signals on parameterized post-Newtonian coefficients in tests of gravity
topic Instrumentation and Methods for Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2311.16184