Open AccessA curved space-time with DISIMb(2) local relativistic symmetry and local gauge invariance of its Finslerian metric
Author(s) -
G. Yu. Bogoslovsky
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1557/1/012014
Subject(s) - physics , observable , invariant (physics) , mathematical physics , introduction to gauge theory , gauge theory , metric (unit) , general relativity , symmetry (geometry) , gauge symmetry , classical mechanics , gauge fixing , mathematics , quantum mechanics , geometry , gauge boson , operations management , economics
It is shown that the equations of motion of test bodies as well as the observable quantities of proper time and 3-space distances are invariant under the local gauge transformations of the fields that determine DISIM b (2) invariant Finslerian metric of a curved partially anisotropic space-time. The principle of the corresponding local gauge invariance makes it possible to effectively attack the problem of constructing the field Lagrangian and deriving the field equations of the Finslerian general relativity.