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Relativity Theory
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Kurs     SI2370     Relativitetsteori    

KURSPLANERING FOR SPING 2009

Frl=lectures
Ovn=Exercise classes

NOTE that the course plan is preliminary and might be changed during the course (I try to have it done about one week in advance).

SR: Frl 2,3,12
Tensors, differential geometry: Frl 3,5, 6, 12, 13
GR and its applications: rest

General plan:

We will have 3 midterm tests ("KS" short for "kontrollskrivning") to give bonus points. The material for these tests are problems done in
previous exercise classes and suggested homework problems. In the last exercise class our before such a midterm test there will be a workshop
("RS" short for "räknestuga") where students should work on the problems tested in the next KS and can ask the exercise class teacher for
help.
 
Source of Problems/appreviations
[C]= Ta-Pei Cheng: Relativity, gravitations and cosmology, Oxford (2006) (=Course book) 
[MOS]=problems taken from: J. Mickelsson, T. Ohlsson, H. Snellman: Relativity Theory, KTH compendium (2003) (available here; you need not print this since he problem formulations are included in [Oe1] below). The Numbers inside [ ] refer to (2005) edition of the compendium.) 
[S]=B.F. Schutz: A first course in general relativity, Cambridge (2006)*
[Oe1]=pdf file available here.
[Oe2]=pdf file available here.
[Oe3]=pdf file available here.
[Oe4]=pdf file available here.

[RQ]=Review question from [C],

"[S2] 3." means "Problem 3 from Chapter 2 in [S]", etc.
"[RQ2] 1." means review question 1. from Chapter 2 in [C], etc.
"[C] 2.1" means "Problem 2.1 in [C]", etc.

RS (short for "räknestuga") = work shop where students should solve problems and can ask the exercise class teacher for help
KS (short for "kontrollskrivning") = midterm test

*These problems will be made available in the exercise classes

The problems in paranthesis "(...)" in each exercise class are homework.

The problems asked in the midterm tests (KS) are very similar to problems done in exercise classes or these
homework problems: if you know how to do these problems well and quickly you should be able to get full points.



Vecka 3 - 22 2009



Kurs     SI2370     Relativitetsteori    

Vecka 3, 2009 Moment Plan
  Tor 15 jan 10:00-12:00 Frl1  Introduction and overview (Ch. 1), SR (Ch. 2)
      13:00-15:00 Ovn1  [RQ1] 4., 6., 1., 2. [Oe1] 1, [C] 2.1, 2.3, 2.6 ([C] 2.7, 2.10)
 
Vecka 4, 2009
  Ons 21 jan 08:00-10:00 Frl2  SR and flat spacetime (Ch. 2)
  Tor 22 jan 08:00-10:00 Ovn2 [RQ2] 3., 7., 9. [C] 2.8, [MOS] 1.8 [1.7], 1.9 [1.8], 1.16  ([C] 2.12, 2.13, 2.14, [RQ2] 11., 12.)
      13:00-15:00 Frl3  SR: flat spacetime, tensors  (Ch. 2 and Ch. 10)
  Fre 23 jan 15:00-17:00 Ovn3 [RQ2] 10., 13. [MOS] 1.27 [1.26], 1.53 [1.57], [Oe1] 2., 3.  ([MOS] 1.59 [1.62], [Oe1] 4., [RQ10] 2., 3.)
 
Vecka 5, 2009
  Mån 26 jan 08:00-10:00 Frl4  Principle of equivalence (Ch. 3) 
  Ons 28 jan 08:00-10:00 Ovn4 1st hour:  [C]  10.1,  10.7,  10.8 ([C] 10.12, 10.13, [RQ10] 5., 7.)
2nd hour: RS1 on material from Ovn 1-4
  Tor 29 jan 08:00-10:00 Frl5  Principle of equivalence (Ch. 3 forts.) 
  Fre 30 jan 15:00-17:00 Ovn5 1st hour: KS1 on material from Ovn 1-4
2nd hour:  [C] 3.1, 3.3 (including discussion on Appendix A.1), (3.2(a), 3.2(b), 3.4)
 
Vecka 6, 2009
  Mån 2 feb 08:00-10:00 Frl6 Metric description of curved space.
Repetition variational calculus (parts of  Var.pdf)
  Ons 4 feb 08:00-10:00 Ovn6 [RQ3] 3., [Oe2] 1, 3 (repetition variational calculus) [C] 4.1, 4..2 ([RQ3] 1., 2., 4., 5.(b), 6.(b))    
  Tor 5 feb 08:00-10:00 Frl7 Metric description of curved space (Ch. 4 forts.)
GR as geometric theory of gravity I (Ch. 5)
  Fre 6 feb 15:00-17:00 Ovn7  [C] 4.3, 4.7 (b) and (c), 4.9(a), 4.9(b), 5.1  ([C] 4.4, 4.6, 4.8, [RQ5] 1., 2.)
 
Vecka 7, 2009
  Tis 10 feb 15:00-17:00 Frl8  GR as geometric theory of gravity I (Ch. 5 forts.)
Spacetime outside a spherical star (Ch. 6)
  Tor 12 feb 10:00-12:00 Ovn8 [RQ5] 1., 2., [C] 5.2, 5.3, 5.6 (5.5, 5.8 [RQ5] 7., 8., 9., 6., 10.)
      13:00-15:00 Frl9  Spacetime outside a spherical star, black holes
(Ch. 6 forts. and A.2)
  Fre 13 feb 15:00-17:00 Ovn9 1st hour: [Oe2]  [C] 6.1, 6.2,
2nd hour: RS2 on material from Ovn 5-9
 
Vecka 8, 2009
  Tis 17 feb 15:00-17:00 Frl10  Cosmology (parts of Ch. 7-9)
  Ons 18 feb 08:00-10:00 Ovn10 1st hour: KS2 on material from Ovn 5-9
2nd hour: Oe2 6(a), 6(b) ([RQ6] 1., 3., 7.)
  Tor 19 feb 13:00-15:00 Frl11  Tensors (Ch. 10 and 11)
  Fre 20 feb 13:00-15:00 Ovn11 [Oe3] 1., [C] 11.1, 11.3  [Oe3] 2., 3., [C] 11.14, [Oe3] 4.  ([C] 11.2. (a), (b), (c), (d), (e), (f)  [RQ11] 1., 3., 4., 5., [Oe3] 5. )  
 
Vecka 9, 2009
  Mån 23 feb 10:00-12:00 Frl12  Tensors (Ch. 10 and 11). Energy-momentum tensor (Ch. 10.4).
  Tis 24 feb 15:00-17:00 Ovn12  [C] 11.7, 11.8, 11.11, 11.13  (11.4, 11.5, [RQ11] 7., 8., 9.)
  Ons 25 feb 08:00-10:00 Frl13 Tensors (Ch. 11 forts.)
GR as geometric theory of gravity II (Ch. 12)
  Fre 27 feb 15:00-17:00 Ovn13  [Oe4] 1., 3., 6(a) ([RQ10] 8., 10., [Oe4] 2., 4., 5.)
 
Vecka 10, 2009
  Mån 2 mar 10:00-12:00 Frl14  GR as geometric theory of gravity II (Ch. 12 forts.)
Linearized theory and gravitational waves (Ch. 13)
  Tis 3 mar 15:00-17:00 Ovn14 1st hour: KS3 on material from Ovn 10-13
2nd hour: [Oe4] 6.  ([C] 12.4, 12.5, [RQ12] 1., 2., 3., 7., 9.)
  Ons 4 mar 08:00-10:00 Frl15  Linearized theory and gravitational waves (Ch. 13 forts.)
Summary
  Fre 6 mar 15:00-17:00 Ovn14  [MOS] [Oe4] 7., 9., 10. ([Oe4] 8., 11., 12., [C] 12.2, [RQ13] 1.)
 
Vecka 11, 2009
  Fre 13 mar 08:00-13:00 TEN  EXAM









Tor 4 jun
14:00-19:00 TEN.1 "Omtentamen"







Last updated: Feb 27, 2009