Sunday, October 21, 2018

special relativity - Transferring from vectors and tensors in (+++) signature to (+) signature?


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=Tijˆeiˆej

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?.




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

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