Gravitational waves from binary black hole systems in inspiralling phase
Author
Kökcü, Efekan
Advisor
Gürses, Metin
Date
2018-07Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
Binary black hole systems have three phases: inspiralling, merger and ringdown
phases. This thesis is a review of methods developed to study the inspiralling
phase analytically. Those methods include post Minkowskian (PM) and post
Newtonian (PN) expansions of the metric, which are perturbative expansions in
G and 1=c respectively. By applying these expansions the general solution with
reasonable boundary conditions is derived, and its near and far zone limits are
studied. This solution is observed to be a multipolar expansion, consisting of
multipole moments that cannot be calculated directly. By using PN and PM
expansions together, those multipole moments are calculated. At last, the metric
is expanded to a 1 PN order and equations of motion for a binary black hole
system in inspiralling phase is calculated to 1 PN order.
Keywords:
Keywords
General RelativityPost Newtonian Expansion
Post Minkowskian Expansion
Inspiralling Binary Black Holes