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Einstein equation in lifted Finsler spaces

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Il Nuovo Cimento B (1971-1996)

Summary

A Finslerian generalization of the Einstein equation is presented by using the lifting of the Finsler metric to the tangent bundle. A new definition of the equations of motion of the free particle in Finsler space is presented and it is shown that the motion of this particle resembles the motion of a spinning particle in curved space-time.

Riassunto

Si presenta una generalizzazione finsleriana dell'equazione di Einstein usando l'elevazione della metrica di Finsler al fascio tangente. Si presenta una nuova definizione delle equazioni di moto della particella libera nello spazio di Finsler e si mostra che il moto di questa particella somiglia al moto di una particella con spin in uno spaziotempo curvo.

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Authors and Affiliations

  1. Department of Physics, Nagoya University, Nagoya, Japan

    H. Ishikawa

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  1. H. Ishikawa
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Ishikawa, H. Einstein equation in lifted Finsler spaces. Nuov Cim B 56, 252–262 (1980). https://doi.org/10.1007/BF02729263

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  • DOI: https://doi.org/10.1007/BF02729263

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