The Robustness of Binary Black Hole Mergers and Waveforms

Open Access
Author:
Bode, Tanja
Graduate Program:
Physics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
April 16, 2009
Committee Members:
  • Lee S Finn, Dissertation Advisor
  • Lee S Finn, Committee Chair
  • Deirdre Shoemaker, Committee Member
  • Martin Bojowald, Committee Member
  • Michael Eracleous, Committee Member
Keywords:
  • numerical relativity
  • black holes
  • initial data
  • gravitational waves
Abstract:
In the past five years, the field of numerical relativity has changed dramatically. With many groups now able to simulate merging black holes and more breakthroughs coming almost monthly, there is much competition to pick off as many astrophysically relevant situations as possible. It is sensible, though, to step back from this competition and to look on the new techniques and results with more skeptical eyes than before. In this dissertation we look at two aspects of initial data from new perspectives and find the waveforms generated from merging bh{} systems to be robust to significant errors in the initial data. In the first study we find that, by adding tuneable auxiliary gravitational waves into a bh{} spacetime, up to 1\% extra ADM{} energy can be added to a standard bh{} system before the waveforms are significantly altered. While this study is based on observations of spurious radiation found in all standard initial data sets to date, the second study takes a more general approach. With an eye towards setting up more complex h{} systems, we find that evolutions of skeleton approximate initial data based on solutions to the ADM{} Hamiltonian with point sources also yield robust gravitational waveforms that are accurate enough for use in matched template searches for gravitational wave signals in the ligo{} band. We also consider the interpretation of a possible class of constraint violations as an unphysical negative energy field that is absorbed by the h{s}. Both of these studies show that the change in ahz{} masses during the evolution is a good way to gauge the robustness of the extracted waveforms. At the end of this dissertation we discuss ongoing work on evolving bh{} mergers embedded in gaseous clouds. This is the first study with the new matter code scotch{} which couples a hydrodynamic matter field to the fully-nonlinear spacetime evolution code. Evolving a wet bh{} system will gauge how robust gravitational wave templates are given that true astrophysical sources are not in vacuum. This is a first step at considering the larger question of whether the presence of gas can overcome the qu{last parsec} problem, hastening the mergers and thereby increasing the expected merger rates.