Lecture Notes
At students' request I will be scanning my lecture notes. Be advised
that they are written for my own use, so they tend to have scratches
and corrections and marginal notes that may be irrelevant!
- Review of elements of differential
geometry
- maps between manifolds, pull-back, push forward
- diffeomorphisms
- derivatives without connection: exterior and Lie
- Isometries, Killing Vectors
- Maximally symmetric spaces
- Generalities
- Minkowski space as an excuse to learn about causal structure
and Penrose diagrams
- de Sitter space
- Causality (out of order)
- Horizons
- Anti de Sitter space
- Elements of Cosmology
- Black Holes
- Schwartzschild
- More General Black Holes, Charged Holes
- >Spinning
Holes, Pensrose Process, Hawking
Temperature
- Other topics??
- Tetrads, spinors, ...
- Singularity theorems
- Hawking radiation