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 classific...
Causal set is a model of space time that allows to reconcile discreteness and manifest relativistic ...
We investigate the interplay and connections between symmetry properties of equa-tions, the interpre...
The theory of relativistic location systems is sketched. The more important class of these systems a...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian spacetime, i...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian space-time, ...
International audienceThis paper introduces some general properties of the gravitational metric and ...
This paper introduces some general properties of the gravitational metric and the natural basis of v...
The Classical Coordinate System is geometrical by nature with time being an external variable. Const...
ABSTRACT. 4 emitters broadcasting an increasing electromagnetic signal generate a system of relativi...
The theory of noncommutative geometry provides an interesting mathematical background for developing...
In this paper the concept of locally inertial reference frames (LIRFs) in Lorentzian and Riemann-Car...
This thesis describes a proposal for the structure of space-time at the smallest scales. The underly...
The theory of location systems involves the geometric and physical description of the protocols allo...
It is known that the entire geometrical theory of a relativistic space-time can be summed up in two ...
The basic elements of Coll positioning systems (n clocks broadcasting electromagnetic signals in a n...
Causal set is a model of space time that allows to reconcile discreteness and manifest relativistic ...
We investigate the interplay and connections between symmetry properties of equa-tions, the interpre...
The theory of relativistic location systems is sketched. The more important class of these systems a...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian spacetime, i...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian space-time, ...
International audienceThis paper introduces some general properties of the gravitational metric and ...
This paper introduces some general properties of the gravitational metric and the natural basis of v...
The Classical Coordinate System is geometrical by nature with time being an external variable. Const...
ABSTRACT. 4 emitters broadcasting an increasing electromagnetic signal generate a system of relativi...
The theory of noncommutative geometry provides an interesting mathematical background for developing...
In this paper the concept of locally inertial reference frames (LIRFs) in Lorentzian and Riemann-Car...
This thesis describes a proposal for the structure of space-time at the smallest scales. The underly...
The theory of location systems involves the geometric and physical description of the protocols allo...
It is known that the entire geometrical theory of a relativistic space-time can be summed up in two ...
The basic elements of Coll positioning systems (n clocks broadcasting electromagnetic signals in a n...
Causal set is a model of space time that allows to reconcile discreteness and manifest relativistic ...
We investigate the interplay and connections between symmetry properties of equa-tions, the interpre...
The theory of relativistic location systems is sketched. The more important class of these systems a...