Reference frames and rigid motions 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.

30 pages

References in corpus (3)

• Space geometry of rotating platforms: an operational approach
• Three-dimensional metrics as deformations of a constant curvature metric
• The Relative Space: Space Measurements on a Rotating Platform

Cited by in corpus (9)

• Extended Theories of Gravity
• Space-time deformations as extended conformal transformations
• Rigid motion revisited: rigid quasilocal frames
• Reference frames and rigid motions in relativity: Applications
• Rigid covariance, equivalence principle and Fermi rigid coordinates:gravitational waves
• Does rotation generate a massive string ?
• Relativistic aberration effect on the the light reflection law and the form of reflecting surface in a moving reference frame
• Deformations of three-dimensional metrics
• Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion