Dirac Analysis and Integrability of Geodesic Equations for Cylindrically Symmetric Spacetimes

Details Dirac Analysis and Integrability of Geodesic Equations for Cylindrically Symmetric Spacetimes Dirac Analysis and Integrability of Geodesic Equations for Cylindrically Symmetric Spacetimes

2005-07-19

arxiv.org/abs/gr-qc/0507085v1

Int.J.Mod.Phys. D12 (2003) 1431

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 Pages, Latex, no figures

Scientific paper

10.1142/S0218271803003621

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.

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