SCHEDULE
MTH 437/537 — Spring 2013

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