Complete classification of cylindrically symmetric static spacetimes and the corresponding conservation laws

DOI10.3390/MATH4030050zbMath1361.83005OpenAlexW2485286085MaRDI QIDQ515444

Farhad Ali, Tooba Feroze

Publication date: 16 March 2017

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4030050

zbMATH Keywords

first integralsNoether symmetriescylindrically symmetric spacetimesolutions of Einstein field equations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Cylindrically symmetric gravitational-wavelike space-times ⋮ A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries ⋮ Noether symmetry analysis for novel gravitational wave-like spacetimes and their conservation laws ⋮ The second-order correction to the energy and momentum in plane symmetric gravitational waves like spacetimes ⋮ Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries

Cites Work

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• Classification of plane symmetric static space-times according to their Noether symmetries
• Hypersurface-orthogonal generators of an orthogonally transitive \(G_2I\), topological identifications, and axially and cylindrically symmetric space-times
• A complete classification of curvature collineations of cylindrically symmetric static metrics
• Classification of cylindrically symmetric static spacetimes according to their Ricci collineations
• Mining metrics for buried treasure
• Classification of curvature collineations of plane symmetric static spacetimes
• The classification of plane symmetric spacetimes by isometries
• A classification of spherically symmetric spacetimes
• Exact Solutions of Einstein's Field Equations
• The classification of some spherically symmetric space-time metrics

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