Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-11
Found.Phys. 34 (2004) 617-642
Physics
High Energy Physics
High Energy Physics - Theory
35 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, co
Scientific paper
In this paper, we introduce the concept of 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 coodinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces is the direct product of a generalized Lorentz group and a generalized translation group. We derive the explicit form of the generators of the generalized Lorentz group in the self-representation and their related, generalized Lorentz algebra. The results obtained are specialized to the case of a 4-dimensional, ''deformed'' Minkowski space $% \widetilde{M_{4}}$, i.e. a pseudoeuclidean space with metric coefficients depending on energy.
Cardone Fabio
Marrani Alessio
Mignani Roberto
No associations
LandOfFree
Killing symmetries of generalized Minkowski spaces. 1-Algebraic-infinitesimal structure of space-time rotation groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Killing symmetries of generalized Minkowski spaces. 1-Algebraic-infinitesimal structure of space-time rotation groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Killing symmetries of generalized Minkowski spaces. 1-Algebraic-infinitesimal structure of space-time rotation groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-73456