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About
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
Hetao Institute of Mathematics and Interdisciplinary Sciences
BIMSA > Relativistic Physics Seminar Relativistic Physics Seminar A Novel Method to Construct Frequency-Domain Gravitational Waveform for Accelerating Sources
A Novel Method to Construct Frequency-Domain Gravitational Waveform for Accelerating Sources
Organizers
Jahed Abedi , Dey Dipanjan , Puskar Mondal , Alejandro Torres-Orjuela
Speaker
Xinmiao Zhao
Time
Wednesday, April 22, 2026 2:30 PM - 3:30 PM
Venue
A3-2-301
Online
Zoom 928 682 9093 (BIMSA)
Abstract
Accurately modeling the inspiral–merger–ringdown (IMR) signal of coalescing compact objects is essential for the test of general relativity. However, it is known that astrophysical environments can distort gravitational-wave (GW) signal and, if ignored, may bias parameter estimation or even our understanding of gravity. Previous studies suggest that various astrophysical environmental effects can be modeled in a unified way by introducing an effective acceleration. However, such models are based on stationary phase approximation (SPA) and post-Newtonian (PN) formalism, which are inconsistent with the fast orbital evolution and strong gravity in the final merger–ringdown phase. To overcome this limit, we introduce frequency-domain spectral differentiation (FSD), which maps the time shift of the signal caused by acceleration into a differentiation in the frequency domain. The mapping does not rely on SPA or PN formalism, therefore can be used to construct the accelerated waveform across the entire IMR phases. We compare the FSD waveforms with the conventional SPA+PN ones, and find that the former more faithfully match the simulated signals of accelerating sources, especially in the merger–ringdown phase and when higher-order FSD corrections are included. A Fisher information matrix analysis suggests that FSD waveforms can achieve higher precision than SPA+PN waveforms in measuring effective acceleration. Therefore, the FSD method offers a more self-consistent treatment of various astrophysical environmental effects in the final merger–ringdown phase of binary GW sources.
Speaker Intro
Xinmiao Zhao (赵鑫淼) is currently a PhD student in Department of Astronomy, School of Physics, Peking University. He received his bachelor’s degree in Astronomy from Peking University. His research focuses on gravitational-wave astrophysics, especially the environmental effects in compact-binary gravitational-wave signals.
Beijing Institute of Mathematical Sciences and Applications
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