Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups
arXiv:hep-th/0505105 · doi:10.1023/B:FOOP.0000041288.74545.c1
Abstract
In this paper, we continue the study of the Killing symmetries of a 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 confining 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 (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.
arXiv comment72 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, comments made)