DIRAC ANALYSIS AND INTEGRABILITY OF GEODESIC EQUATIONS FOR CYLINDRICALLY SYMMETRIC SPACETIMES

DOI10.1142/S0218271803003621zbMath1079.83512arXivgr-qc/0507085MaRDI QIDQ5700010

U. Camci

Publication date: 27 October 2005

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0507085

zbMATH Keywords

geodesic equationsLevi-Civita spacetimeLewis spacetimecylindrically symmetric spacetimesDirac analysisVan Stockum spacetime

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Constrained dynamics, Dirac's theory of constraints (70H45) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (2)

Editorial note to: T. Levi-Civita, The physical reality of some normal spaces of Bianchi and to: Einsteinian \(ds^2\) in Newtonian fields. IX: The analog of the logarithmic potential ⋮ Stationary cylindrical anisotropic fluid

Cites Work

• The parameters of the Lewis metric for the Weyl class
• The theory of gravitation in Hamiltonian form
• Some special solutions of the equations of axially symmetric gravitational fields
• On parameters of the Levi-Civita solution
• Hamiltonian structure of real Monge - Ampère equations
• Geodesics in Lewis space–time
• On the parameters of the Lewis metric for the Lewis class
• The Levi–Civita space–time
• Rotating cylindrical systems and gravitomagnetism
• Geodesic motion and confinement in van Stockum space–time
• Foundations of Quantum Mechanics
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
• Generalized Hamiltonian Dynamics

This page was built for publication: DIRAC ANALYSIS AND INTEGRABILITY OF GEODESIC EQUATIONS FOR CYLINDRICALLY SYMMETRIC SPACETIMES