English

Coordinates and frames from the causal point of view

General Relativity and Quantum Cosmology 2009-11-11 v1

Abstract

Lorentzian frames may belong to one of the 199 causal classes. Of these numerous causal classes, people are essentially aware only of two of them. Nevertheless, other causal classes are present in some well-known solutions, or present a strong interest in the physical construction of coordinate systems. Here we show the unusual causal classes to which belong so familiar coordinate systems as those of Lema{\^{\i}}tre, those of Eddington-Finkelstein, or those of Bondi-Sachs. Also the causal classes associated to the Coll light coordinates (four congruences of real geodetic null lines) and to the Coll positioning systems (light signals broadcasted by four clocks) are analyzed. The role that these results play in the comprehension and classification of relativistic coordinate systems is emphasized.

Keywords

Cite

@article{arxiv.gr-qc/0601138,
  title  = {Coordinates and frames from the causal point of view},
  author = {Juan Antonio Morales Lladosa},
  journal= {arXiv preprint arXiv:gr-qc/0601138},
  year   = {2009}
}

Comments

5 pages, 1 figure, short communication in A Century of Relativity Physics, Proceedings of the XXVIII Spanish Relativity Meeting ERE-2006, 6-10 September - Oviedo - Spain (AIP Conference Proceedings)

R2 v1 2026-07-22T12:44:36.469Z