A Note on General Covariant Stability Theory
M.I.Wanas, M.A.Bakry
TL;DR
This paper introduces a general covariant stability theory applicable to various physical systems with a geometric approach, linking stability to deviation vector magnitude, and compares it to previous work.
Contribution
It proposes a novel covariant framework for analyzing stability in physical systems, extending previous theories and applicable to diverse astrophysical and cosmological scenarios.
Findings
Provides a unified geometric stability criterion
Connects stability to deviation vector magnitude
Applicable to planetary, astrophysical, and cosmological systems
Abstract
In the present work we suggest a general covariant theory which can be used to study the stability of any physical system treated geometrically. Stability conditions are connected to the magnitude of the deviation vector. This theory is a modification of an earlier joint work, by the same authors, concerning stability. A comparison between the present work and the earlier one is given. The suggested theory can be used to study the stability of planetary orbits, astrophysical configurations and cosmological models.
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