Definition 1.1 A metric tensor is a second rank tensor with a contravariant rank of zero and a covariant rank of two (0,2) with the conditions:
- symmetric tensor
- determinant does not equal zero
References
[1] Sean M. Carroll, “Lecture Notes on General Relativity.”, Enrico Fermi Institute, 1997, Notes
[2] John Stewart, “Advanced General Relativity.”, Cambridge University Press (1993)
[3] N.M.J. Woodhouse, “General Relativity.”, Springer (2006).
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