TL;DR
This paper explores how spacetime oscillations with cosine-based metric perturbations can average out to appear flat or Euclidean at large scales, depending on their amplitude and wavelength.
Contribution
It introduces a model of spacetime rippling with specific metric perturbations and analyzes their large-scale averaging behavior.
Findings
Oscillating spacetime metrics can resemble flat spacetime when averaged.
The appearance of spacetime as Minkowskian or Euclidean depends on oscillation parameters.
Cosine-based metric perturbations can produce large-scale flatness or Euclidean geometry.
Abstract
The metric perturbation tensor corresponding to a transverse oscillation of spacetime is composed of products of cosines. When averaged over many wavelengths, such a metric may look either Minkowskian or Euclidean at large scales, depending on the amplitude and wavelength of the oscillation.
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Taxonomy
TopicsThemes in Literature Analysis