The 1-jet Generalized Lagrange Geometry induced by the rheonomic Chernov metric
Vladimir Balan, Mircea Neagu
TL;DR
This paper develops a jet Generalized Lagrange Geometry framework on the 1-jet space for the rheonomic Chernov metric, and constructs related gravitational and electromagnetic field models.
Contribution
It introduces a novel geometric structure on the 1-jet space based on the rheonomic Chernov metric and formulates associated physical field models.
Findings
Established a new geometric framework for rheonomic Chernov metrics.
Derived gravitational and electromagnetic field equations from the new geometry.
Provided insights into the physical implications of the rheonomic Finsler Chernov metric.
Abstract
The aim of this paper is to develop on the 1-jet space J^1(R,M^4) the jet Generalized Lagrange Geometry for the rheonomic Chernov metric. The associated gravitational and electromagnetic field models based on the rheonomic Finsler Chernov metric tensor are developed and discussed.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems