General relativity

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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?
 

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PeterDonis
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How do you represent einstein field equations with levi civita symbol or jacobian determinant? I saw a lot of work that involves this
Can you give a reference?
 
  • #3
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"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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