Seminar Event Detail

Differential Equations

Date:  Thursday, November 16, 2017
Location:  4088 East Hall (4:00 PM to 5:00 PM)

Title:  Asymptotic Methods in the General Relativistic Modeling of Inspiraling Compact Binaries

Abstract:   Compact objects in nature, like neutron stars and black holes, are likely spinning. When such objects are in orbit around each other, the interactions between their spin angular momenta and the orbital angular momentum can cause the orbital plane to precess. Precession also occurs in binaries that are elliptical due to General Relativistic effects. Such precessional effects encode rich information about the dynamics of compact binaries, which, if properly included in an accurate mathematical model, can be used to mine astrophysical and gravitational wave observations. In this talk, I will discuss two new mathematical approaches based on multiple scale-analysis and hyperasymptotics to construct closed-form expressions for the orbital motion and the gravitational waves emitted by spin-precessing, quasi-circular, compact binaries and non-spinning, highly-elliptical binaries. These accurate models may allow for better extraction of astrophysical parameters and more detailed tests of General Relativity in the extreme gravity regime.


Speaker:  Nicolas Yunes
Institution:  Montana State University

Event Organizer:     


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