On the construction of Fermi-Walker transported frames

TL;DR

This paper presents a straightforward method to construct Fermi-Walker transported frames from arbitrary tetrad fields, providing a standard for non-rotation in accelerated observers within spacetime.

Contribution

It introduces a simple prescription for transforming arbitrary tetrad fields into Fermi-Walker transported frames, enhancing the understanding of non-rotating reference frames in relativity.

Findings

Provides a practical method for constructing Fermi-Walker frames

Clarifies the relation between arbitrary tetrads and non-rotating frames

Facilitates analysis of accelerated observers in spacetime

Abstract

We consider tetrad fields as reference frames adapted to observers that move along arbitrary timelike trajectories in spacetime. By means of a local Lorentz transformation we can transform these frames into Fermi-Walker transported frames, which define a standard of non-rotation for accelerated observers. Here we present a simple prescription for the construction of Fermi-Walker transported frames out of an arbitrary set of tetrad fields.