- Physics 7720 -
General Relativity
Fall 2012




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Homework



  • Homework Assignment 6. Due December 5th, 2012. Solutions

  • Homework Assignment 5. Due November 20th, 2012 at 5pm. Solutions
    Carroll problems 5.3 and 5.4(a).
  • Homework Assigment 4. Due November 7, 2012. Solutions

  • Homework Assigment 3. Due October 17, 2012. Solutions

  • Homework Assignment 2. Due September 26, 2012. Solutions
    Carroll problems 2.4, 2.6, 2.7, and 2.8.
  • Homework Assignment 1. Due September 12, 2012. Solutions
    Hint for Carroll problem 1.10: I hope we all agree as to how a (0,2) tensor should transform, but make sure the properties of the Lorentz transformations you write down are correct. Among other details, remember that Lambdamumu' is the INVERSE of Lambdamu'mu (with the indices ordered in this way). See page 18 of your book.

    There are a number of equivalent ways to arrive at the solution of how the electric and magnetic fields transform. I expect you to do the problem as written, transforming Fmu nu, but you should easily be able to check your own work. And as always, be very careful if you're doing the problem in matrix form rather than component form!



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