Calendar and Assigments:
Week of 
Topic  Chapter in Hartle  Problem sets & handouts 
Tuesday, Jan 17 
Applications of general relativity Special relativity: gedankenexperiments & paradoxes, spacetime diagrams 
Chapter 1 Chapter 4 
PS 1 
Jan 24 
Relativistic mechanics, 4vectors, hyperbolic geometry  Chapter 5  PS 2,
Article Rec 1, Calc of Variations 
Jan 31 
Calculus of variations, review of analytical mechanics Visual appearance of rapidly moving objects 
Chapter 3 Chapter 6 
PS 3 
Feb 7 
Newtonian gravity, action principle General relativity: equivalence principle, clocks 
Chapter 2 Chapter 6 
PS 4 
Feb 14 
Rindler space, static weak field metric, Penrose diagrams, gravitational redshift, Hafele and Keating experiment  Review PS 1 

Feb 21 
Euclidean and Lorentzian metrics, lightcones, embeddings, Penrose diagrams; applications to 3sphere, flat space, hyperbolic space (Euclidean), Minkowski space, FRW universe  PS 5  
Feb 28 
De Sitter space; horizons, Schwarzschild metric (Lorentzian)  Chapter 7  PS 6 
Mar 6 
SPRING BREAK 

Mar 13 
de Sitter space (uniformly accelerated universe), more calculus of variations, the geodesic equation, Christoffel symbols, orbit equations, applications to motion in various spaces and spacetimes  Chapter 8  PS 7 
Mar 20 
Geodesics in Schwarzschild spacetime of a black hole, the effective radial problem for massive particles, precession of planetary orbits  Chapter 9  PS 8 schorbits.nb 
Mar 27 
The effective radial problem for massless particles, bending of light, the postnewtonian approximation  Review PS 2 

Apr 3 
Causal structure of black holes, EddingtonFinkelstein and KruskalSzekeres coordinates, gravitational collapse, ReisnerNordstrom blackholes  Chapter 12  PS 9 
Apr 10 
Tensors, covariant derivatives, parallel transport  Chapter 20  PS 10 
Apr 17 
Geodesic deviation  Chapter 21  Final Review PS 
Apr 24 
Einstein Equations, black hole thermodynamics, Hawking radiation  Chapter 22 & Supplementary 