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Generalized boosts and polar decomposition in multidimensional relativity

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Il Nuovo Cimento B (1971-1996)

Summary

A generalized boost in a space-time with several time dimensions is defined to be a homogeneous Lorentz transformation represented by a positive-definite symmetric matrix. This allows polar decomposition in the corresponding Lorentz group, which is thereby shown to possess four connected components. The method is used to express Cole’s canonical transformation of six-dimensional space-time as the product of a boost and a temporal rotation.

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Authors and Affiliations

  1. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK

    J. B. Boyling

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  1. J. B. Boyling
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Boyling, J.B. Generalized boosts and polar decomposition in multidimensional relativity. Il Nuovo Cimento B 108, 805–814 (1993). https://doi.org/10.1007/BF02741879

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  • DOI: https://doi.org/10.1007/BF02741879

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