Convenor: Christopher Moore C.J.Moore@bham.ac.uk and Patricia Schmidt
Module Code: GW
Module Name: Black Hole and Gravitational Waves
Start Date and Commitments
Not running 2022/23
Once registered the module convenor will be in contact with online access details
Prerequisites: General knowledge of tensor and vector calculus at the level of a typical undergraduate course will be assumed. A basic knowledge of the Python language is required for the 1 day workshop at the end of the course (if the students have no previous python experience they could attend the Python MPAGS course which runs concurrently with this course).
Part I: Christopher Moore Lectures 1-3
The first module will give an overview of some of the mathematical background to general relativity: manifolds, the metric, tensors, covariant derivatives, the Riemannian curvature. We will then cover the Einstein field equations and the Schwarzschild solution.
Part II: Davide Gerosa Lectures 4-6
This module covers the basics of gravitational wave emission and propagation: linearization of the Einstein field equations, their Newtonian limit, and the gravitational-wave quadrupole formula. We then apply this formalism to the specific case of binary black holes and highlight their astrophysical relevance.
Part III: Patricia Schmidt Lectures 7-9
This part of the course will give a basic introduction to numerical relativity - the field of solving Einstein’s field equations numerically. We will cover the 3+1 decomposition of the field equations, briefly introduce gauge conditions and initial data for black hole spacetimes, before looking at the evolution of black hole spacetimes and gravitational wave extraction.
Assessment: The course will be assessed via 3 short example sheets (one for each part of the course) which students can complete in their own time and submit online to the lecturer.