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The Equations of Motion of the Post-Newtonian Compact Binary Inspirals As Gravitational Radiation Sources Under The Effective Field Theory Formalism

Yang, Zixin (2020) The Equations of Motion of the Post-Newtonian Compact Binary Inspirals As Gravitational Radiation Sources Under The Effective Field Theory Formalism. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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The success of advanced LIGO/VIRGO detections of gravitational wave signals beginning in 2015 has opened a new window on the universe. Since April 2019, LIGO’s third observing run has identified binary merger candidates with a rate of roughly one per week. In order to understand the properties of all the candidates, it is necessary to construct large template banks of gravitational waveforms. Future upgrades of the LIGO detectors and the next generation detectors with better sensitivity post challenges to the current calculations of waveform solutions. The improvement of the systematic and statistical uncertainties calls for higher accuracy in waveform modeling. It is also crucial to include more physical effects and cover the full parameter space for the future runs.
This thesis focuses on the equations of motion of the post-Newtonian compact binary inspirals as gravitational wave sources. The second post-Newtonian order corrections to the radiation reaction is calculated using the Effective Field Theory formalism. The analytical solutions to the equations of motion and spin precession equations are obtained using the dynamical renormalization group method up to the leading order in spin-orbit effects and radiation reaction.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Yang, Zixinziy8@pitt.eduziy80000-0003-0561-2025
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLeibovich, Adamakl2@pitt.eduakl2
Committee MemberBoudreau,
Committee MemberRothstein,
Committee MemberKosowsky,
Committee MemberSwanson,
Date: 16 September 2020
Date Type: Publication
Defense Date: 30 April 2020
Approval Date: 16 September 2020
Submission Date: 18 May 2020
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 114
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Physics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Gravitational Waves; Post-Newtonian Approximation; Radiation Reaction; Dynamical Renormalization Group
Date Deposited: 16 Sep 2020 15:33
Last Modified: 16 Sep 2020 15:33


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