Fall 2019 - PHYS 490 D100

General Relativity and Gravitation (3)

Class Number: 1265

Delivery Method: In Person


  • Course Times + Location:

    Sep 3 – Dec 2, 2019: Mon, Wed, Fri, 4:30–5:20 p.m.

  • Exam Times + Location:

    Dec 12, 2019
    Thu, 12:00–3:00 p.m.

  • Prerequisites:

    PHYS 285 or MATH 471; PHYS 384, with a minimum grade of C-.



Gravity and space-time, Einstein's equations and their solution, tests of relativity, black holes, stellar equilibrium and collapse, and cosmological models. Quantitative.


Course Description:

Introductory course in relativity and gravitational phenomena: review of special relativity and its incompatibility with gravitation, tensor analysis with applications to relativistic physics (electromagnetism, fluids etc), differential geometry, spacetime curvature and gravity, physics on curved manifolds, relativistic stellar physics, black holes, cosmology, other topics as time permits (see below).


1) Review of special relativity and its covariant formulation:
      Lorentzian geometry, electromagnetism, relativistic continuum and particle mechanics.

2) (Pseudo) Riemannian geometry:
      Geodesic motion, symmetries, physics in curved spaces.

3) Introduction to gravitation:
      Principle of equivalence, Einstein equations, weak field approximations, Newtonian limit.

4) Stars:
      General relativistic fluid and plasma dynamics, stellar structure and equilibrium, white dwarfs andneutron stars.

5) Black holes:
      Stellar collapse, what's in there?, properties of systems with event horizons.

6) Cosmology:
      Subspaces of constant curvature, Friedmann-Lemaitre-Robertson-Walker spacetime, history of theuniverse incl. inflation, physical constraints on cosmological models.

7) Specialized topics depending on amount of time available and interest of students:
      Quantization issues, topology (eg. wormholes), warp-drives and time machines.


  • Assignments 20%
  • Project 35%
  • Final Examination 45%


*This marking scheme is tentative and subject to change.




1) Introduction to Relativity, W. D. McGlinn, John Hopkins University Press. (paperback is cheaper).
2) Gravitation and Cosmology : Principles and Applications of the General Theory of Relativity, S. Weinberg, Wiley and Sons.
3) Classical Theory of Fields, 4th ed., L. Landau and E. Lifshitz, Butterworth/Heinmann Co.
4) Gravitation and Spacetime, H. Ohanian and R. Ruffini, W. W. Norton and Co.
5) Spacetime and Geometry: An Introduction to General Relativity, S. Carroll, Addison-Wesley Co.
6) Modern General Relativity, M. Guidry, Cambridge Univ. Press.

Department Undergraduate Notes:

Students who cannot write their exam during the course's scheduled exam time must request accommodation from their instructor in writing, clearly stating the reason for this request, before the end of the first week of classes.

Registrar Notes:

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html