Geodesics in Lewis space–time

DOI10.1063/1.532470zbMath0929.53051arXivgr-qc/9705074OpenAlexW3103516792MaRDI QIDQ4701621

Luis Herrera, Nilton O. Santos

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9705074

zbMATH Keywords

geodesic equationsNewtonian limitWeyl classLewis metric

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Geodesics in global differential geometry (53C22) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (15)

Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. II. More about axial pressure ⋮ Repulsive Effect for Unbound High Energy Particles Along Rotation Axis in Kerr-Taub-NUT Spacetime ⋮ A new approach of the stationary axisymmetric vacuum S(A) solutions ⋮ Kerr geodesics following the axis of symmetry ⋮ GEODESICS IN THE γ SPACETIME ⋮ Geodesics dynamics in the Linet-Tian spacetime with \(\Lambda<0\) ⋮ Energetics of the Einstein-Rosen spacetime ⋮ DIRAC ANALYSIS AND INTEGRABILITY OF GEODESIC EQUATIONS FOR CYLINDRICALLY SYMMETRIC SPACETIMES ⋮ Cylindrical systems in general relativity ⋮ Gravitomagnetism in the Lewis cylindrical metrics ⋮ On the gravitomagnetic effects in cylindrically symmetric space–times ⋮ The static cylinder, gyroscopes and the \(C\)-metric ⋮ Translation in cylindrically symmetric vacuum ⋮ Stationary cylindrical anisotropic fluid ⋮ Unwrapping closed timelike curves

Cites Work

• Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession
• The parameters of the Lewis metric for the Weyl class
• Some special solutions of the equations of axially symmetric gravitational fields
• On the parameters of the Lewis metric for the Lewis class
• Geodesic motion and confinement in van Stockum space–time
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry

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