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.
arXiv comment12 Pages, Latex, no figures
References in corpus (7)
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- The Levi-Civita spacetime
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- On the parameters of Lewis metric for the Lewis class
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Cited by in corpus (5)
- Symmetries of geodesic motion in Gödel-type spacetimes
- Stationary Cylindrical Anisotropic Fluid
- Integrability of geodesic motions in curved manifolds through non-local conserved charges
- Does rotation generate a massive string ?
- Noether symmetries of the minimal surface Lagrangian for Gödel-type spacetimes