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      Gravitational waves from binary black hole systems in inspiralling phase

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      Author(s)
      Kökcü, Efekan
      Advisor
      Gürses, Metin
      Date
      2018-07
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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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 Relativity
      Post Newtonian Expansion
      Post Minkowskian Expansion
      Inspiralling Binary Black Holes
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      http://hdl.handle.net/11693/47717
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      • Dept. of Physics - Master's degree 161
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