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On the Theory of Gravitational Field in Finsler Spaces ‐ II
Author(s) -
Ikeda Satoshi
Publication year - 1989
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19895010304
Subject(s) - compactification (mathematics) , gravitational field , physics , field (mathematics) , unified field theory , connection (principal bundle) , gravitation , base (topology) , theoretical physics , pure mathematics , classical mechanics , mathematics , geometry , mathematical analysis
Continuing the last paper [1], more detailed considerations are made on the spatial structure of the Finslerian gravitational field: firstly, a unified field between the external ( x )‐field and the internal ( y )‐field is constructed from a vector bundle‐like standpoint, where the intrinsic behavior (i.e., δ y ) of the internal vector variable y is taken into account; secondly, the connection structure and the metrical structure are determined by setting the base and dual base properly in the unified field; thirdly, a compactification process of the internal field (i.e., a mapping process of the ( y )‐field on the ( x )‐field) is considered in order to realize a four‐dimensional Finslerian structure.