Complete classification of conformal Killing symmetries of plane-symmetric static spacetimes in teleparallel theory

DOI10.1007/S10773-015-2884-8zbMath1338.83091OpenAlexW2281563427MaRDI QIDQ299521

Farook Rahaman, Arkopriya Mallick, Ahmad T. Ali

Publication date: 22 June 2016

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

Full work available at URL: https://doi.org/10.1007/s10773-015-2884-8

zbMATH Keywords

plane symmetric static spacetimesRicci inheritance collineationsymmetries of a spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Analogues of general relativity in lower dimensions (83C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

• Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields
• A note on classification of teleparallel conformal vector fields in cylindrically symmetric static space-times in the teleparallel theory of gravitation
• Classification of Teleparallel Homothetic Vector Fields in Cylindrically Symmetric Static Space-Times in Teleparallel Theory of Gravitation
• TELEPARALLEL KILLING VECTORS OF THE EINSTEIN UNIVERSE
• CLASSIFICATION OF BIANCHI TYPE I SPACETIMES ACCORDING TO THEIR PROPER TELEPARALLEL HOMOTHETIC VECTOR FIELDS IN THE TELEPARALLEL THEORY OF GRAVITATION
• Exact Solutions of Einstein's Field Equations
• Stability criterion for self-similar solutions with a scalar field and those with a stiff fluid in general relativity
• A Note on Classification of Spatially Homogeneous Rotating Space-Times According to Their Teleparallel Killing Vector Fields in Teleparallel Theory of Gravitation
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors
• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
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