Equivalent Generic Forms for Metric Fields Yielded by Relativistic Positioning Systems

Abstract

Relativistic positioning systems provide tensors represented in $\{\ell \ell \ell \ell \}$-frames ($\ell$ for light) dual to systems of emission coordinates. We show that any Lorentzian metric field given in such a frame is isometrically equivalent to a generic metric field defined by only four positive functions depending on another specific system of emission coordinates.

References in corpus (2)

• Measuring emission coordinates in a pulsar-based relativistic positioning system
• A principal positioning system for the Earth