Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes

DOI10.1088/0253-6102/68/3/335zbMath1377.83014OpenAlexW2755069370MaRDI QIDQ4599934

Ghulam Shabbir, Ashfaque H. Bokhari, Usamah S. Al-Ali, Abdul Hamid Kara

Publication date: 5 January 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/68/3/335

zbMATH Keywords

conservation lawsNoether symmetriesplane symmetric spacetimes

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Analogues of general relativity in lower dimensions (83C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity ⋮ A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries ⋮ A study of Noether symmetries in LRS Bianchi type V spacetimes ⋮ Energy Conditions and Conservation Laws in LRS Bianchi Type I Spacetimes via Noether Symmetries ⋮ Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries

Cites Work

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• Static spherically symmetric space-times with six Killing vectors
• Ricci collineations of static spherically symmetric spacetimes
• Classification of spherically symmetric static space–times by their curvature collineations
• Exact Solutions of Einstein's Field Equations
• Symmetries of static, spherically symmetric space-times
• The classification of static plane symmetric space–times according to their Ricci collineations

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