Observers in spacetimes with spherical and axial symmetries

TL;DR

This paper provides explicit tetrad descriptions for observers in spherically and axially symmetric spacetimes, analyzing null-geodesics in these frames and identifying observers with constant acceleration.

Contribution

It introduces explicit forms of observer tetrads in symmetric spacetimes and applies them to analyze null-geodesics and accelerated observers.

Findings

Explicit tetrad forms for arbitrary observers are derived.

Null-geodesics are analyzed in the observers' frames.

Observers with constant acceleration are characterized.

Abstract

We introduce in the explicit form the tetrads of arbitrary observers in spacetimes with spherical and axial symmetries. The observers confined to the equatorial plane are parametrized by the pair of functions. We apply this description in the analysis of the null-geodesics in the observers' frames. The observers with the constant acceleration are distinguished.