1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Courses Is this course possible?

  1. Jan 24, 2009 #1
    I'm proposing an independent study for my school, and I was wondering if this course seems even possible to do. It follows the MIT 8.962 course, General Relativity, and the Calendar is virtually taken from their syllabus. It goes:

    Week 1
    Set up computer, familiarize with the text
    Week 2
    Geometric Viewpoint on Physics in Flat Spacetime: Vectors and Dual Vectors, Tensors;
    Special Relativity
    Week 3
    Geometric Viewpoint on Physics in Flat Spacetime: Energy and Momentum, Conserved Currents, Stress Energy Tensor;
    Transformation Law for Tensors
    Week 4
    Metric in a Curved Space;
    Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration;
    Gauge/Coordinate Transformations
    Week 5
    Metric in a Curved Space (cont.);
    Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration (cont.);
    Gauge/Coordinate Transformations (cont.)
    Week 6
    Connection and Curvature, Geodesics;
    Introduction to Curvature
    Week 7
    Curvature Continued: Geodesic Deviation, Bianchi Identity;
    Killing Vectors and Symmetries
    Week 8
    Einstein's Equation and Gravitation;
    Cosmological Constant;
    Hilbert Action
    Week 9
    Weak Field/Linearized General Relativity;
    Spacetime of an Isolated Weakly Gravitating Body
    Week 10
    Gravitational Waves
    Week 11
    Gravitational Lensing
    Week 12
    Distance Measures and Redshift;
    Our Universe
    Week 13
    Schwarzschild Solution;
    Birkhoff's Theorem, Metric of a Spherical "Star"
    Week 14
    Black Holes;
    Collapse to Black Hole; Orbits of a Black Hole;
    Kerr and Reissner-Nordstrom Solutions
    Week 15
    Advanced Topics and Current Research in General Relativity
    Week 16
    Use fragments of thesis and sew them together, choose and plan lecture
    Week 17
    Deliver lecture; Edit thesis
    Week 18
    Turn in peer-reviewed thesis

    The thesis will be probably 15-25 pages, and the lecture will be approximately 30 minutes long. I plan to meet with an advisor approximately every week, who will assess my knowledge of the topics I learned in the previous week. Does this seem possible? Also, I have DG under my belt, so the only math subject I'd be unfamiliar with would be tensor analysis.
  2. jcsd
  3. Jan 24, 2009 #2
    how do you know dg but not tensor analysis? they're practically synonymous?
  4. Jan 24, 2009 #3
    I'm more familiar with vectors and I've done some work in tensors but I feel I need more practice in it.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?