Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

New paper

  1. Nov 15, 2005 #1
    Last edited: Nov 15, 2005
  2. jcsd
  3. Nov 16, 2005 #2

    EL

    User Avatar
    Science Advisor

    http://arxiv.org/abs/gr-qc/0511074 was entertaining to read. I like the conlcution:
    :biggrin:
     
  4. Nov 16, 2005 #3

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Interesting papers.

    This resource letter by R. M. Wald for teachers of general relativity is very interesting. Wald has come around to the point of view that it's OK to teach undergraduate general relativity courses that don't cover tensors or the Einstein fild equation. Undergraduate courses should concentrate on mining (via, e.g., Lagrange's equations) given (not derived as solutions to Einstein's equation) metrics for physical information. This way, much more time can be spent on quantitative aspects of interesting topics like black holes and cosmology.

    Wald: "The philosophy on teaching general relativity to undergraduates expounded in this resource letter is adopted directly from the approach taken directly from Hartle in this (Hartle's) text."

    For grad courses, Wald says that tensors must be taught, but that there is no satisfactory way of doing this.

    Wald: "In 30 years of teaching general relativity at the graduate level, I have not found a satisfactory solution to this problem, and I have always found the discussion of tensors to be the 'low point' of this course,"

    Wald say that there are 2 main options: 1) manifolds, and tensors as multilinear maps; 2) tensors strictly form a coordinate-based point of view.

    1) is more fundamental, but requires more time, which leads to rushed presentations of physical applications of GR. 2) can be covered in half the time as 1), allowing for more leisurely and detailed presentations of physicall applications, but is not sufficient for treating things like global methods and singularity theorems.

    Regards,
    George
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?