Killing symmetries of generalized Minkowski spaces. Part 2: Finite structure of space-time rotation groups in four dimensions

摘要

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 ( in general non-diagonal) 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 con. ning ourselves ( without loss of generality) to the four-dimensional case. In particular, the results obtained are specialized to the case of a "deformed" Minkowski space (M) over tilde (4) (i.e., a pseudoeuclidean space with metric coefficients depending on energy), for which we derive the explicit general form of the finite rotations and boosts in different parametric bases.