Energy Extraction and Quasinormal Modes of Black Hole Binaries: An analytical and numerical study
This thesis explores classical phenomena in multiple models of black hole binaries using numerical, analytical, and semi-analytical techniques. Our study provides insights into energy extraction, quasinormal modes, and wave scattering around black hole binaries, and demonstrates how the presence of a binary alters these phenomena compared to their single black hole counterparts. The study develops innovative techniques and numerical packages, including a technique for studying energy extraction in the context of general spacetime metrics, an Asymptotic Iteration Method-based code for computing quasinormal frequencies of black hole spacetimes, and a new EinsteinToolkit Thorn for the numerical evolution of a scalar field superimposed on a dynamically evolving metric. The results demonstrate enhanced efficiency of energy extraction in the presence of a secondary object, and the successful computation of new quasinormal frequencies for spin 5/2 perturbations of a Schwarzschild black hole. Preliminary findings of the scattering of a massless field over the GW150914 binary collision demonstrate valuable insights but are subject to further testing and development. Future research directions include incorporating the proposed approach for studying the Penrose process in dynamic spacetimes into fully dynamical simulations, further exploring the numerical simulation of the scalar field on top of the GW150914 binary, and considering the backreaction of the spacetime metric to enhance the realism of the simulations. The thesis’s contributions enhance confidence in the accuracy and potential of numerical methods for addressing novel problems in binary black hole spacetime models.