SCHEDULE
MTH 437/537 — Spring 2015

This is a rough schedule showing which topic we will cover when. All dates are subject to change.
Most topic links refer to my book on general relativity; others refer to my books on special relativity and differential forms.

  Mon Tue Wed Thu Fri
Week 1
(Mar/Apr)		 30    Line Elements
Circle Geometry
Hyperbola Geometry 		31
 
  		1
Geometry of SR
  		2
 
  		3
Physics of SR
 
Week 2
(Apr)		 6
Geodesics
Examples of Geodesics 		7
 
  		8
Symmetries
Polar/Spherical 		9
 
  		10
Physics of GR
 
Week 3
(Apr)		 13
No class
 
 14
 
  		15
Schwarzschild Metric
Properties, Geodesics 		16
 
  		17
Orbits
 
Week 4
(Apr)		 20
Circular Orbits
Null Orbits 		21
 
  		22
Radial Geodesics
  		23
 
  		24
Rain Coordinates
Observers
Week 5
(Apr/May)		 27
Rain Coordinates
Rindler Geometry 		28
 
  		29
Rindler Geodesics
Extending Rindler 		30
 
  		1
Extending Schwarzschild
Kruskal Geometry
Week 6
(May)		 4
Review 		5
 
 6
Midterm 		7
 
 8
Tidal Forces
Week 7
(May)		 11
Tidal Forces
Geodesic Deviation 		12
 
  		13
Matter
Dust 		14
 
  		15
Einstein Equation I
Conservation Laws
Week 8
(May)		 18
Conservation Laws
Bianchi Identities 		19
 
 
 20    Einstein Tensor
Einstein Equation II
Cosmological Constant 		21
 
 
 22
Constant Curvature
Robertson-Walker Metrics
Week 9
(May)		 25
Memorial Day
  		26
 
 
 27
The Big Bang
Friedmann Models I, II 		28
 
 
 29    Missing Matter
Standard Models
Cosmological Redshift
Week 10
(Jun)		 1
Gravitational Waves
Birkhoff's Theorem 		2
 
 
 3    Penrose diagrams
Charged Black Holes
Rotating Black Holes 		4
 
 
 5
Alcubierre Warp Drive
Null Shells of Matter
Finals
(Jun)		 8
 
 9
 
 10
 
 11
 
 12