Minkowski space with the signature (+−−−) can be described by C1,3 whilst with the signature (−+++) by C3,1 (I am using C instead of R to allow for Wick rotations). Given a standard vector (or tensor) in one of these spaces: →v=viˆei,T=Tijˆei⊗ˆej
what is the standard isomorphism(?) used to form the equivalent vector/tensor in the other?
My guess is that for vectors the isomorphism is defined to keep the vi components the same in both spaces - is this correct?.
No comments:
Post a Comment