Executive Summary : | The research proposal aims to address three potential questions focusing on the prospects and applications of current and forthcoming gravitational wave (GW) observations. It focuses on examining potential systematic biases in GW data analysis and parameter inference using Bayesian analyses, strong-field tests of general relativity using GWs, and extending binary black hole (BH) nature tests using spin-induced quadrupole moment (SIQM) measurements. The proposal includes a semi-analytic formalism to compare the performances of two waveform models by estimating systematic errors on binary parameters at different parameter regions. A Bayesian inference-based toolkit will be developed to measure the spin-morphology of a generic binary system using the state-of-the-art GW model on simulated binary BH signals. The study will extend the relationship between different tests of general relativity analyses using second-generation GW detectors and third-generation detectors and Bayesian analysis. Parametriczed tests of post-Newtonian theory will be performed using the third-generation detector network and the most accurate waveform models and Bayesian framework. The proposal also proposes using GW measurements of SIQM parameters to differentiate binary BHs from binaries consisting of exotic stars. The framework will be extended in multiple ways, including studying the distinguishability of low mass compact objects from BHs using SIQM measurements, developing a pipeline to accurately measure spin-induced effects and tidal-induced effects, exploring possible stealth biases in SIQM parameter estimation using the Bayesian inference framework, and investigating the effect of higher harmonics and spin-induced orbital precession in measuring SIQM parameters using Bayesian analysis. |