Frenet-serret formalism for null world lines.
The Frenet-Serret curve analysis is extended from non-null to null trajectories in a generic spacetime using the Newman-Penrose formalism, recovering old results which are not well known and clarifying the associated Fermi- Walker transport which has been left largely unexplored in the literature. This machinery is then used to discuss null circular orbits in stationary axisymmetric spacetimes using the Kerr spacetime as a concrete example, and to integrate the equations of parallel transport along null geodesics in any spacetime.
|Main Author:||Bini, Donato.|
|Other Authors:||Geralico, Andrea., Jantzen, Robert.|