Speaker
Description
The direct detection of gravitational waves has opened a new observational window into the Universe, making a rigorous mathematical description of gravitational radiation imperative. Within the framework of General Relativity, the Petrov classification of the Weyl tensor serves as a fundamental tool for the algebraic classification of spacetimes. The purpose of this thesis is to study the Petrov classification, placing primary emphasis on its connection to the geometry and propagation of gravitational waves. It analyzes how different algebraic types correspond to distinct physical states, with Type N being identified with pure, transverse gravitational waves. In conclusion, this work highlights that the algebraic structure of spacetime curvature provides the necessary theoretical foundation for a comprehensive understanding of the properties and dynamics of gravitational waves.
Supervisor: Professor Theocharis Apostolatos