23 citations · 60 across the 6 of their papers we have counts for
6 papers
A relativistic generalisation of rigid motions
J Llosa, A Molina, D Soler
Radar-holonomic congruences of wordlines are proposed as a weaker substitute for the too restrictive class of Born-rigid motions. The definition is expressed as a set of differenti…
Reference frames and rigid motions in relativity: Applications
D. Soler
The concept of rigid reference frame and of constricted spatial metric, given in the previous work [\emph{Class. Quantum Grav.} {\bf 21}, 3067,(2004)] are here applied to some spec…
On the degrees of freedom of a semi-Riemannian metric
Josep Llosa, Daniel Soler
A semi-Riemannian metric in a n-manifold has n(n-1)/2 degrees of freedom, i.e. as many as the number of components of a differential 2-form. We prove that any semi-Riemannian metri…
Reference frames and rigid motions in relativity
J. Llosa, D. Soler
A reference frame consists of: a reference space, a time scale and a spatial metric. The geometric structure induced by these objects in spacetime is developed. The existence of a…
Three-dimensional metrics as deformations of a constant curvature metric
B. Coll, J. Llosa, D. Soler
Any three-dimensional Riemannian metric can be locally obtained by deforming a constant curvature metric along one direction. The general interest of this result, both in geometry…
Fermat-holonomic congruences
J. Llosa, D. Soler
Fermat-holonomic congruences are proposed as a weaker substitute for the too restrictive class of Born-rigid motions. The definition is expressed as a set of differential equations…