Definition: | space-time in which the metric tensor for real components x__:=(x1,x2,x3,x4=ct) can be expressed as a diagonal one, each diagonal component having one of the values 1 or −1
EXAMPLE Metric tensor with gμλ=0 for μ≠λ, g11=g22=g33=1, and g44=−1 describes a flat pseudo-Euclidean space-time. 3D subspace of it for μ, λ=1…3 is a flat Euclidean space.
Note 1 to entry: Special theory of relativity is based on the space-time described in the example.
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