Classical Oscilators in General Relativity
Ion I. Cotaescu, Dumitru N. Vulcanov (The West University of, Timisoara, Dept. of Theoretical, Comp. Physics, Timisoara, Romania)

TL;DR
This paper demonstrates that certain static metrics in general relativity can mimic oscillatory motions, enabling new geometric models of closed or open bags based on arbitrary parameters.
Contribution
It introduces a novel way to simulate oscillations using static metrics in general relativity, expanding the potential geometric models.
Findings
Static metrics can simulate oscillatory motions in general relativity.
Oscillation modes depend on two arbitrary parameters.
Potential applications include new geometric models of bags.
Abstract
It is shown that in general relativity some static metrics are able to simulate oscillatory motions. Their form depends on two arbitrary real parameters which determine the specific oscillation modes. The conclusion is that these metrics can be used for new geometric models of closed or even open bags. Pacs: 04.02.-q and 04.02.Jb
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