Killing Symmetries of Generalized Minkowski Spaces. Part 2: Finite Structure of Space–Time Rotation Groups in Four Dimensions

Foundations of Physics 34 (8):1155-1201 (2004)
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Abstract

In this paper, we continue the study of the Killing symmetries of an N-dimensional generalized Minkowski space, i.e., a space endowed with a metric tensor, whose coefficients do depend on a set of non-metrical coordinates. We discuss here the finite structure of the space–time rotations in such spaces, by confining ourselves to the four-dimensional case. In particular, the results obtained are specialized to the case of a “deformed” Minkowski space M_4, for which we derive the explicit general form of the finite rotations and boosts in different parametric bases.

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