Special and General Relativity - year IV

ToDo

• boud:
  • wims: exercises

when/where

• lecture Tuesdays @16.00 @KRA, starting 15.02.2011
  • Next exercise/lecture: Mon 9 May/Tue 10 May! (because of Festiwal Nauk i Sztuki + mid-semester break + Easter)
• tutorial (cwiczen) - proposal: Monday 12-14 @KRA - to be decided/confirmed among participants
• should also be on astro-official program: rok IV (15.02.2011: no such file) or Wydzial website + pdf
• official semester: http://umk.pl/studia/kalendarium/: ,,od 14 lutego 2011 r. do 30 września 2011 r."

mailing list

what

• lectures: pdf
  • • sr_gr_110405.pdf: lectures up to: 2011-04-05
      • add this file to gifmovie/ locally
    • twins0606559.pdf: pdf for astro-ph/0606559
    • SRandGRwhatwhen - possible timing of what is in pdfs + wims on each lecture date
• SR (=STW): WikipediaEn:Minkowski_space
  • • WikipediaEn:World_line
• GR (=OTW): WikipediaEn:General_relativity
  • Bertschinger notes: http://web.mit.edu/edbert/GR/ (SRandGRBertschingerArchived)
  • Concepts:
    • WikipediaEn:Riemannian_geometry (and pseudo-Riemannian geometry)
      • 110510 coordinate basis, gradient of vector field, Christoffel symbols http://web.mit.edu/edbert/GR/gr1.pdf
      • 110517 othonormal bases, tetrads, commutators, connection http://web.mit.edu/edbert/GR/gr2.pdf
      • 110524 parallel transport, geodesics, Killing vector field
      • 110531 Riemann tensor, curvature, Ricci identity, Ricci tensor, Einstein tensor
  • WikipediaEn:Stress–energy_tensor http://web.mit.edu/edbert/GR/gr2b.pdf
    • WikipediaEn:Equivalence_principle
  • Equations:
    • WikipediaEn:Intermediate_treatment_of_tensors
    • WikipediaEn:Einstein_field_equations http://web.mit.edu/edbert/GR/gr5.pdf
  • Exact solutions:
    • WikipediaEn:Schwarzschild_metric
    • WikipediaEn:Friedmann-Lema%C3%AEtre-Robertson-Walker_metric

advanced level

• • Approximation methods:
    • WikipediaEn:ADM_formalism
  • software:
    • maxima - component tensor packet ctensor
    • Cactus - http://cactuscode.org

summary of modern cosmology

• AstroPh:0602280 - George Ellis - Issues in the Philosophy of Cosmology - this is a proper scientific approach, i.e. serious philosophy explained in simple (scientific) words

online intros to cosmology

• http://theory.physics.helsinki.fi/~cosmology/

wims - wersja online

• http://cosmo.torun.pl/wims -> students' area
• Dlaczego coś jak wims? http://wims.unice.fr/paper/pqt.pdf - a paper explaining the principle of tests with open-question sets. WIMS can be used to implement this principle.
• WimsDyskusja

traditional exercises

• John Peacock has some nice online exercises: http://www.roe.ac.uk/~jap/teaching/cos5.html

how

who

• się dodaj do listy, np Main.PiotrNowak
• BoudRoukema (lecturer)

zaliczenie

• 5 points from relativity exercises on http://cosmo.torun.pl/wims
  • you can do the exercises from outside the spacetime region of the exercise sessions, but without getting points
  • you accumulate points during the official exercise sessions

exam

• a fixed time duration, e.g. 2 or 3 hours at KRA as in a traditional exam; repeat session 1 or 2 months later as in official program
• a selection of wims exercises used during the exercise sessions
• differences:
  • "abandon the series" not allowed;
  • just one realisation of each exercise (not 5 realisations)
  • quality index 1.0 instead of 0.3, i.e. mistakes are taken more seriously
• possibility to restart whole exam?
• TODO: boud: see what default structure for "exam" is in wims

5.0 punkty zaliczenia na wims - jak jest obliczony

• Możesz zdobyć aż do 5.0 punkty za ćwiczenia w wims:
  • gdzie
    • jest ile% done dla danym "sheet" - między 0.0 i 1.0
    • jest "quality" (jakość) - między 0.0 i 1.0; potęga 0.3 implikuje, że efekt jest, ale jest słabo oprócz jeśli quality jest bardzo niska...
  • równowalna sposoba liczyć:
    • home
      • My scores
        • Global average: ile over 5. Tutaj, ile jest ile punkty masz razem
• Wzor dla jednego cwiczenia po m razy, gdzie to ocen między 0.0 i 1.0, to . Tzn, , to uwazone srednio, gdzie najostatnich razy sa najwazniejszy.
• Chromium/Chrome bug: As of 2020 to 2024, the chromium/chrome browser software has a bug that prevents the display of some of the exercises. Firefox is one browser without the bug.