Quasinormal Modes and Gravitational Radiation in Black Hole Spacetimes

TL;DR

This paper explores the quasinormal modes of black holes, their role in gravitational wave emission, and extends the analysis to higher-dimensional spacetimes, linking black hole physics with quantum mechanics and potential future collider experiments.

Contribution

It provides a comprehensive study of black hole quasinormal modes across various backgrounds and generalizes gravitational wave formulas to higher dimensions.

Findings

Analysis of quasinormal modes in multiple spacetime backgrounds

Investigation of gravitational radiation from black hole collisions

Generalization of Einstein's quadrupole formula to higher dimensions

Abstract

Black holes play a fundamental role in modern physics. They have characteristic oscillation modes, called quasinormal modes. Past studies have shown that these modes are important to our understanding of the dynamics of astrophysical black holes. Recent studies indicate that they are important as a link between gravitation and quantum mechanics. Thus, the investigation of these modes is a timeliness topic. Quasinormal modes dominate almost every process involving black holes, in particular gravitational wave emission during, for example, the collision between two black holes. It may be possible to create black holes at future accelerators, according to recent theories advocating the existence of extra dimensions in our universe. It is therefore important to study in depth the gravitational radiation emitted in high energy collision between two black holes in several dimensions, and also to make a theoretical study of gravitational waves in higher dimensions. In this thesis we shall make a thorough study of the quasinormal modes of black holes in several kinds of background spacetimes. We shall investigate the gravitational radiation given away when highly energetic particles collide with black holes, and also when two black holes collide with each other. Finally, we shall study the properties of gravitational waves in higher dimensions, for instance, we generalize Einstein's quadrupole formula.