Computation Methods for Parametric Analysis of Gravitational Wave Data
Patel, Heta Ajay
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Gravitational waves are detected, analyzed and matched filtered based on an approximation of General Relativity called the Post Newtonian theory. This approximation method is based on the assumption that there is a weak gravity field both inside and around the body. However, scientists cannot justify why Post-Newtonian theory (meant for weak fields) works so well with strong fields of black hole mergers when it really should have failed [C. Will 2011]. Yunes and Pretorius gave another approach called parameterized post-Einsteinian (ppE) theory that uses negligible assumptions and promises to identify any deviation on the parameters through post-processing tests. This thesis project proposes to develop a method for the parametric detection and testing of gravitational waves by computation of ppE for the inspiral phase using ChirpLab. A set of templates will be generated with ppE parameters that can be used for the testing.
General Audience Abstract
Electromagnetic waves were discovered in the 19th century and have changed our lives with various applications. Similarly, this new set of waves, gravitational waves, will potentially alter our perspective of the universe. Gravitational waves can help us understand space, time and energy from a new and deeper perspective. Gravitational waves and black holes are among the trending topics in physics at the moment, especially with the recent release of the first image of a black hole in history. The existence of black holes was predicted a century ago by Einstein in the well defined theory, “Theory of General Relativity”. Current approaches model the chaotic phenomenon of a black hole pair merger by the use of approximation methods. However, scientists Yunes and Pretorius  argue that the approximations employed skew the estimation of the physical features of the black hole system. Hence, there is a need to approach this problem with methods that don’t make specific assumptions about the system itself. This thesis project proposes to develop a computational method for the parametric2 detection and testing of gravitational waves.
- Masters Theses