Course content and admin

Adminstrative issues

Course syllabus

List of section headings

Lecture Handouts

Preliminary and revision material

Curvilinear coordinate systems and useful sets

Sets and maps

Metric geodesics and metric connection

Computing Christoffel symbols

Rotating coordinate systems

Deriving the expression for the Riemann tensor

Spherically symmetric vacuum solution

Gravitational lensing

Section Summaries

Manifolds, metric and tensors in a nutshell

Connection and tensor calculus in a nutshell

Curvature in a nutshell

Einstein equations in a nutshell

Schwarzschild solution in a nutshell

Example Sheets

0. Extra examples on Cartesian tensors

1. Preliminary and revision material

2. Manifolds, metrics and geodesics

3. Geodesics and curvature