Classification of static cylindrically symmetric spacetimes in \(f(R)\) theory of gravity by conformal motions with perfect fluid matter

DOI10.1007/S40065-018-0215-7zbMath1419.83049OpenAlexW2886527384WikidataQ129423983 ScholiaQ129423983MaRDI QIDQ2424303

M. Ramzan, Fiaz Hussain, Ghulam Shabbir

Publication date: 24 June 2019

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-018-0215-7

zbMATH Keywords

classificationperfect fluidenergy momentum tensorconformal vector fields\(f(R)\) theory of gravitystatic cylindrically symmetric spacetimes

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) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (11)

A note on classification of locally rotationally symmetric Bianchi type I space–times via conformal vector fields in f(T,B) gravity ⋮ Conformal vector fields for some vacuum classes of pp-waves space-times in ghost free infinite derivative gravity ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity ⋮ Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity ⋮ Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity ⋮ A note on classification of Kantowski–Sachs and Bianchi type III solutions in f(T) gravity via conformal vector fields ⋮ A note on classification of dust static plane symmetric space-times via proper curvature collineations in \(f(R)\) gravity ⋮ A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity ⋮ A note on proper homothetic vector fields in plane symmetric perfect fluid static spacetimes in f(R, T) theory of gravity ⋮ A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields

Cites Work

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• A NOTE ON CONSTANT CURVATURE SOLUTIONS IN CYLINDRICALLY SYMMETRIC METRIC f(R) GRAVITY
• Static cylindrically symmetric spacetimes
• CLASSIFICATION OF CYLINDRICALLY SYMMETRIC STATIC SPACETIMES ACCORDING TO THEIR KILLING VECTOR FIELDS IN TELEPARALLEL THEORY OF GRAVITATION
• Exact Solutions of Einstein's Field Equations
• Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids
• Symmetries of the energy-momentum tensor of cylindrically symmetric static space–times
• STATIC CYLINDRICALLY SYMMETRIC INTERIOR SOLUTIONS IN f(R) GRAVITY
• The cosmological constant

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