| 释义 |
Minkowski SpaceA 4-D space with the Minkowski Metric. Alternatively, it can be considered to have a Euclidean Metric, butwith its Vectors defined by
 | (1) |
 is the speed of light.  The Metric is Diagonal with
 | (2) |
 | (3) |
 be the Tensor for a Lorentz Transformation. Then
 | (4) |
 | (5) |
 | (6) |
 to be equivalent to the Minkowski metric are that the Riemann Tensor vanishes everywhere ( ) and that atsome point  has three Positive and one Negative Eigenvalues.See also Lorentz Transformation, Minkowski Metric
References
Thompson, A. C. Minkowski Geometry. New York: Cambridge University Press, 1996.
|