Killing symmetries of generalized Minkowski spaces. 3-Space-time translations in four dimensions

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 coodinates. We discuss here the translations 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 $\widetilde{M_4}$ (i.e. a pseudoeuclidean space with metric coefficients depending on energy).

arXiv comment31 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, comments made)

References in corpus (2)

• Killing symmetries of generalized Minkowski spaces. 1-Algebraic-infinitesimal structure of space-time rotation groups
• Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups

Cited by in corpus (2)

• Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups
• A geometrical meaning to the electron mass from breakdown of Lorentz invariance