A note on classification of teleparallel conformal vector fields in cylindrically symmetric static space-times in the teleparallel theory of gravitation

DOI10.1007/S10773-012-1434-XzbMath1266.83160OpenAlexW2061489918MaRDI QIDQ1955897

Alamgeer Khan, Suhail Khan, Ghulam Shabbir

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10773-012-1434-x

zbMATH Keywords

torsionWeitzenböck connectionsteleparallel conformal vector fields

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (10)

Complete classification of conformal Killing symmetries of plane-symmetric static spacetimes in teleparallel theory ⋮ Homothetic motion in a Bianchi type-I model in Lyra geometry ⋮ Classification of static cylindrically symmetric spacetimes in \(f(R)\) theory of gravity by conformal motions with perfect fluid matter ⋮ 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 ⋮ Teleparallel conformal Killing vector fields of LRS Bianchi type V spacetimes in teleparallel gravity ⋮ A note on some perfect fluid Kantowski–Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity ⋮ A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity ⋮ Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads ⋮ 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

• Unnamed Item
• Addendum to "New general relativity"
• New general relativity
• 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 CYLINDRICALLY SYMMETRIC STATIC SPACETIMES ACCORDING TO THEIR KILLING VECTOR FIELDS IN TELEPARALLEL THEORY OF GRAVITATION
• CLASSIFICATION OF BIANCHI TYPE I SPACETIMES ACCORDING TO THEIR PROPER TELEPARALLEL HOMOTHETIC VECTOR FIELDS IN THE TELEPARALLEL THEORY OF GRAVITATION
• Hamiltonian formulation of the teleparallel description of general relativity
• 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

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