Reference frames and rigid motions in relativity
J. Llosa, D. Soler
TL;DR
This paper develops the geometric structure of reference frames in relativity, introducing a class of rigid spatial metrics with free mobility that can be derived as deformations of radar metrics.
Contribution
It introduces a class of rigid, freely mobile spatial metrics in relativity, derived as deformations of radar metrics, enhancing the understanding of reference frame geometry.
Findings
Existence of rigid spatial metrics with free mobility
These metrics can be obtained as slight deformations of radar metrics
Provides a geometric framework for reference frames in relativity
Abstract
A reference frame consists of: a reference space, a time scale and a spatial metric. The geometric structure induced by these objects in spacetime is developed. The existence of a class of spatial metrics that are rigid, have free mobility and can be derived as a slight deformation of the radar metric, is shown.
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