3 papers
math-ph2005
Lorentz surfaces with constant curvature and their physical interpretation
Francesco Catoni, Roberto Cannata, Vincenzo Catoni +1
In recent years it has been recognized that the hyperbolic numbers (an extension of complex numbers, defined as z=x+h*y with h*h=1 and x,y real numbers) can be associated to space-…
math-ph2005
Hyperbolic trigonometry in two-dimensional space-time geometry
Francesco Catoni, Roberto Cannata, Vincenzo Catoni +1
By analogy with complex numbers, a system of hyperbolic numbers can be introduced in the same way: z=x+h*y with h*h=1 and x,y real numbers. As complex numbers are linked to the Euc…
gr-qc2005
Integrating the geodesic equations in the Schwarzschild and Kerr space-times using Beltrami's "geometrical" method
Dino Boccaletti, Francesco Catoni, Roberto Cannata +1
We revisit a little known theorem due to Beltrami, through which the integration of the geodesic equations of a curved manifold is accomplished by a method which, even if inspired…