Problems of Finslerian theory of gauge fields and gravitation
type: Item
instance of: scholarly article
title: Problems of Finslerian theory of gauge fields and gravitation
zbMATH Open document ID: 0684.53062
DOI: 10.1016/0034-4877(88)90051-1
author: Ascar K. Aringazin
author: Gennadii S. Asanov
published in: Reports on Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The main purpose of the present paper is to give a systematic analysis of post-Newtonian techniques for a Finsler extension of the gravity theory related to its observational consequences. First, there are studied the orbital gravitational effects in case of special representations of a Finslerian anisotropic post-Newtonian metric. Then there are obtained generalizations of both the geodesics equations and the Maxwell equations. Further, there are investigated two generalized Finsler metrics, the Finsler connections associated with them and it is calculated the gyroscope precession effect for these metrics. Finally, there are introduced and studied Finsler gauge fields, Finsler gauge covariant derivatives and Lie derivatives of Finsler gauge fields. It seems to the reviewer that Finsler geometry should be considered by now as the mathematical background of multi-dimensional physical theories. Certainly, the paper under review supports our assertion.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 4120968
zbMATH Keywords: post-Newtonian techniques
zbMATH Keywords: Finsler extension of the gravity theory
zbMATH Keywords: geodesics equations
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Finsler gauge fields
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
full work available at URL: 0034-4877(88)90051-1
OpenAlex ID: W1998950804
cites work: Finslerian post-Riemannian corrections to the equations of geodesics
cites work: Q4017071
cites work: Variational principle for the Finslerian extension of general relativity
cites work: Examples of Finslerian Metric Tensors of the Space‐Time Signature
cites work: Finsler geometry, relativity and gauge theories
cites work: Gauge Fields in General Parametrical Approach and Their Finslerian Reduction
cites work: Q3721338
cites work: Clocks and gravity
cites work: Equations of motion of test bodies in a spherically symmetric, static gravitational field
cites work: Q5683906
cites work: Hyperspin manifolds
cites work: Hyperspin and Hyperspace
cites work: Geometrical and topological methods in gauge theories. Proceedings of the Canadian Mathematical Society Summer Research Institute, McGill University, Montreal, September 3-8, 1979
cites work: Q3344801
cites work: Christoffel formula and geodesic motion in hyperspin manifolds
cites work: New geometrical methods of the theory of physical fields
cites work: Q3704574
cites work: Q3029727
cites work: Q5828466
cites work: Q3725106
cites work: Q4194079
cites work: Q3883139
cites work: Metrical Finsler structures and metrical Finsler connections
cites work: Q3730578
cites work: Geometry of spacetime founded on spacelike metric
cites work: Q3231767
cites work: Q4043711
cites work: Non-Riemann geometrizable effects in the gravitational one-body problem
cites work: Q3865109
cites work: Q3995048
cites work: Q3940446
cites work: A Generalization of Finsler Geometry
cites work: Q5801831
cites work: Q3658672
cites work: Q3310550
cites work: Q3683125
cites work: The differentiable and causal structures of space-time
description: scientific article; zbMATH DE number 4120968