Dirac analysis and integrability of geodesic equations for cylindrically symmetric spacetimes

Camci, U2025-01-272025-01-2720030218-2718https://doi.org/10.1142/S0218271803003621https://hdl.handle.net/20.500.12428/27269Dirac'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.eninfo:eu-repo/semantics/openAccessDirac analysisgeodesic equationscylindrically symmetric spacetimesLewis spacetimeLevi-Civita spacetimeVan Stockum spacetimeDirac analysis and integrability of geodesic equations for cylindrically symmetric spacetimesArticle1281431144410.1142/S0218271803003621Q2WOS:0001864779000062-s2.0-0345491508Q1