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Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups

Fabio Cardone·Alessio Marrani·Roberto Mignani
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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 $% \widetilde{M_{4}}$ (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.

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Fabio Cardone, Alessio Marrani, Roberto Mignani. 2005-05-12. Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups. https://doi.org/10.1023/b%3Afoop.0000041288.74545.c1

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