6533b826fe1ef96bd128476e
RESEARCH PRODUCT
Coordinates and frames from the causal point of view
Juan Antonio Morales Lladosasubject
PhysicsPure mathematicsNull (mathematics)Coordinate systemFOS: Physical sciencesGeodetic datumPoint (geometry)General Relativity and Quantum Cosmology (gr-qc)Congruence relationGeneral Relativity and Quantum Cosmologydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-31 | AIP Conference Proceedings |