Dirac Analysis and Integrability of Geodesic Equations for Cylindrically Symmetric Spacetimes
arXiv:gr-qc/0507085 · doi:10.1142/S0218271803003621
Abstract
Dirac's constraint analysis and the symplectic structure of geodesic equations are obtained for the general cylindrically symmetric stationary spacetime. For this metric, using the obtained first order Lagrangian, the geodesic equations of motion are integrated, and found some solutions for Lewis, Levi-Civita, and Van Stockum spacetimes.
12 Pages, Latex, no figures