Dirac analysis and integrability of geodesic equations for cylindrically symmetric spacetimes

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Camci U.

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, vol.12, no.8, pp.1431-1444, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 12 Issue: 8
• Publication Date: 2003
• Doi Number: 10.1142/s0218271803003621
• Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS D
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1431-1444
• Çanakkale Onsekiz Mart University Affiliated: No

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.