Understanding Einstein Field Equations & Levi Civita Symbol/Jacobian Determinant

[TimeRip496]

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 don't know how and why.

Besides how is the jacobian determinant related to the levI civita symbol?

 

[PeterDonis]

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?

 

[Roy_1981]

"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