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Gauge Freedom and Tidal Interactions of Compact Binary Systems

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Title: Gauge Freedom and Tidal Interactions of Compact Binary Systems
Author: Corrigan, Eamonn
Department: Department of Physics
Program: Physics
Advisor: Poisson, Eric
Abstract: The study of compact binary tidal interactions has become a very active area of research in recent years, encouraged further by the detection of gravitational wave signals by laser interferometers. Tidal deformations of material bodies should measurably alter the gravitational wave signals detected, teaching us about the internal structure of these compact objects. To explore these effects, one can carry out a matching calculation stitching together two metrics, one calculated close to our central body and one in the far field. This work looks to simplify these lengthy calculations by taking advantage of the gauge freedom present in perturbation theory. We explore two different options: the EZ gauge, originally developed by Steven Detweiler, and the widely used Regge-Wheeler gauge. We discover the EZ gauge, unfortunately, does not aid in these calculations. It also includes an unavoidable singularity at the event horizon, further limiting its usefulness. The Regge-Wheeler gauge, however, does maintain the form of a post-Newtonian metric when transformed, a result which drastically simplifies the matching procedure.
Date: 2018-07
Rights: Attribution-NonCommercial 2.5 Canada

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Attribution-NonCommercial 2.5 Canada Except where otherwise noted, this item's license is described as Attribution-NonCommercial 2.5 Canada