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  5. Green Function Methods in Black Hole Spacetimes
 
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Green Function Methods in Black Hole Spacetimes

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Author(s)
O'Toole, Conor 
Uri
http://hdl.handle.net/10197/13361
Date Issued
2022
Date Available
15T17:01:30Z December 2022
Abstract
In this thesis I present the development of a characteristic initial value problem approach to calculating the Green function for applications to Extreme Mass Ratio Inspirals. I demonstrate the approach with calculations of the scalar self-force in Schwarzschild spacetime. This method is extended to include the gravitational Regge-Wheeler and Zerilli Green functions, from which I compute gravitational wave energy fluxes. I apply this method to three additional problems: (i) the computation of scattering orbit deflection angle corrections at first-order in the mass ratio, (ii) calculation of contributions at second-order in the mass ratio to the orbital evolution, and (iii) application of the numerical techniques to the Teukolsky equation in both Schwarzschild and Kerr spacetimes. I present results of each of these applications and discuss potential future improvements and extensions.
Type of Material
Doctoral Thesis
Publisher
University College Dublin. School of Mathematics and Statistics
Qualification Name
Ph.D.
Copyright (Published Version)
2022 the Author
Keywords
  • EMRIs

  • Self-force

  • Green functions

Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Theses
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