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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2013
- DOI:
- 10.48550/arXiv.1304.5699
- arXiv:
- arXiv:1304.5699
- Bibcode:
- 2013arXiv1304.5699R
- Keywords:
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- General Relativity and Quantum Cosmology