Mathematics for GR

• The topology of \(\mathbb{R}^n\)
• Mappings
• Real Analysis
• Manifolds
• Calculus on manifolds
• Differential forms
• Connections for Riemann Manifolds

General Relativity

• The physics of gravity
• Gravitational radiation
• The energy-momentum tensor
• Physics in curved spacetimes
• Static models with spherical symmetry
• The Schwarzchild metric
• Models of spherical stars
• Black Holes

Gravitational wave astronomy

• Conventions and terminology
• Sources
• Multimessenger observations

Extras

• Bibliography
• Glossary