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Main Authors: Rao, Jin-Hui, Yi, Shu-Xu, Tao, Lian, Tang, Qing-Wen
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.13314
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author Rao, Jin-Hui
Yi, Shu-Xu
Tao, Lian
Tang, Qing-Wen
author_facet Rao, Jin-Hui
Yi, Shu-Xu
Tao, Lian
Tang, Qing-Wen
contents Theories of modified gravity suggest that the propagation speed of gravitational wave (GW) $v_g$ may deviate from the speed of light $c$. A constraint can be placed on the difference between $c$ and $v_g$ with a simple method that uses the arrival time delay between GW and electromagnetic (EM) wave simultaneously emitted from a burst event. We simulated the joint observation of GW and short Gamma-Ray burst (sGRB) signals from Binary Neutron Star (BNS) merger events in different observation campaigns, involving advanced LIGO (aLIGO) in design sensitivity and Einstein Telescope (ET) joint-detected with \textit{Fermi}/GBM. As a result, the relative precision of constraint on $v_g$ can reach $\sim 10^{-17}$ (aLIGO) and $\sim 10^{-18}$ (ET), which are one and two orders of magnitude better than that from GW170817, respectively. We continue to obtain the bound of graviton mass $m_g \leq 7.1(3.2)\times 10^{-20}\,$eV with aLIGO (ET). Applying the Standard-Model Extension (SME) test framework, the constraint on $v_g$ allows us to study the Lorentz violation in the nondispersive, nonbirefringent limit of the gravitational sector. We obtain the constraints of the dimensionless isotropic coefficients $\bar{s}_{00}^{(4)}$ at mass dimension $d = 4$, which are $-1\times 10^{-15}< \bar{s}_{00}^{(4)}<9\times 10^{-17}$ for aLIGO and $-4\times 10^{-16}< \bar{s}_{00}^{(4)}<8\times 10^{-18}$ for ET.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13314
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulation Study on Constraining GW Propagation Speed by GW and GRB Joint Observation on Binary Neutron Star Mergers
Rao, Jin-Hui
Yi, Shu-Xu
Tao, Lian
Tang, Qing-Wen
High Energy Astrophysical Phenomena
Theories of modified gravity suggest that the propagation speed of gravitational wave (GW) $v_g$ may deviate from the speed of light $c$. A constraint can be placed on the difference between $c$ and $v_g$ with a simple method that uses the arrival time delay between GW and electromagnetic (EM) wave simultaneously emitted from a burst event. We simulated the joint observation of GW and short Gamma-Ray burst (sGRB) signals from Binary Neutron Star (BNS) merger events in different observation campaigns, involving advanced LIGO (aLIGO) in design sensitivity and Einstein Telescope (ET) joint-detected with \textit{Fermi}/GBM. As a result, the relative precision of constraint on $v_g$ can reach $\sim 10^{-17}$ (aLIGO) and $\sim 10^{-18}$ (ET), which are one and two orders of magnitude better than that from GW170817, respectively. We continue to obtain the bound of graviton mass $m_g \leq 7.1(3.2)\times 10^{-20}\,$eV with aLIGO (ET). Applying the Standard-Model Extension (SME) test framework, the constraint on $v_g$ allows us to study the Lorentz violation in the nondispersive, nonbirefringent limit of the gravitational sector. We obtain the constraints of the dimensionless isotropic coefficients $\bar{s}_{00}^{(4)}$ at mass dimension $d = 4$, which are $-1\times 10^{-15}< \bar{s}_{00}^{(4)}<9\times 10^{-17}$ for aLIGO and $-4\times 10^{-16}< \bar{s}_{00}^{(4)}<8\times 10^{-18}$ for ET.
title Simulation Study on Constraining GW Propagation Speed by GW and GRB Joint Observation on Binary Neutron Star Mergers
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2405.13314