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General relativity

  1. Mar 13, 2015 #1
    How do you represent einstein field equations with levi civita symbol or jacobian determinant? I saw a lot of work that involves this but I dont know how and why.

    Besides how is the jacobian determinant related to the levI civita symbol?
     
  2. jcsd
  3. Mar 13, 2015 #2

    PeterDonis

    Staff: Mentor

    Can you give a reference?
     
  4. Mar 13, 2015 #3
    "Besides how is the jacobian determinant related to the levI civita symbol?"

    This follows from the definition of a determinant. One can express the determinant of any matrix (not just the Jacobian matrix) using the Levi Civita symobol :
    http://en.wikipedia.org/wiki/Determinant#Levi-Civita_symbol
     
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