TY - JOUR
AU - Jantzen, Robert T
AB - The FrenetSerret curve analysis is extended from non-null to null trajectories in a generic spacetime using the NewmanPenrose formalism, recovering old results which are not well known and clarifying the associated FermiWalker 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.
TI - FrenetSerret formalism for null world lines
JF - Classical and Quantum Gravity
DO - 10.1088/0264-9381/23/11/018
DA - 2006-05-12
UR - https://www.deepdyve.com/lp/iop-publishing/frenetserret-formalism-for-null-world-lines-lttRAFVOzb
SP - 3963
EP - 3981
VL - 23
IS - 11
DP - DeepDyve
ER -