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.
Language: English
Published: 2006
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:177361