STATIC CYLINDRICAL SYMMETRY AND CONFORMAL FLATNESS

DOI10.1142/S0218271805006626zbMath1079.83007arXivgr-qc/0411107OpenAlexW1971017181MaRDI QIDQ5311687

G. Le Denmat, G. Marcilhacy, Luis Herrera, Nilton O. Santos

Publication date: 23 August 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/0411107

zbMATH Keywords

conformal flatnesscylindrical sourcesSelf-gravitating systems

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (12)

Gravitational collapse of dissipative fluid as a source of gravitational waves ⋮ Stability of anisotropic self-gravitating fluids ⋮ A study of charged cylindrical gravitational collapse with dissipative fluid ⋮ Conformally flat sources for the Linet-Tian spacetime ⋮ Five-dimensional cylindrical anisotropic fluid in Einstein–Gauss–Bonnet gravity ⋮ 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 ⋮ Dynamics of non-adiabatic charged cylindrical gravitational collapse ⋮ Cylindrical systems in general relativity ⋮ Cylindrically symmetric relativistic fluids: a study based on structure scalars ⋮ Stationary cylindrical anisotropic fluid ⋮ Gravitational collapse of cylindrical anisotropic fluid: a source of gravitational waves ⋮ Rotating cylinders with anisotropic fluids in general relativity

Cites Work

• Hypersurface-orthogonal generators of an orthogonally transitive \(G_2I\), topological identifications, and axially and cylindrically symmetric space-times
• The parameters of the Lewis metric for the Weyl class
• On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0⩽σ<∞
• Conformally flat anisotropic spheres in general relativity
• The Levi-Civita space–time as a limiting case of the γ space–time
• On Gauss' theorem and the concept of mass in general relativity
• Perfect-fluid cylinders and walls - sources for the Levi-Civita spacetime
• The static cylinder, gyroscopes and the \(C\)-metric

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