A NOTE ON CLASSIFICATION OF BIANCHI TYPE I SPACETIMES ACCORDING TO THEIR TELEPARALLEL KILLING VECTOR FIELDS

DOI10.1142/S0217732310031403zbMath1184.83015MaRDI QIDQ3553550

Suhail Khan, Ghulam Shabbir

Publication date: 21 April 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

torsionWeitzenböck connectionsteleparallel Killing vector fields

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (9)

Homothetic motion in a Bianchi type-I model in Lyra geometry ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads ⋮ A NOTE ON KILLING VECTOR FIELDS OF BIANCHI TYPE II SPACETIMES 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 ⋮ A note on classification of proper teleparallel homothetic vector field in spherically symmetric static space-times in the teleparallel theory of gravitation using diagonal tetrads ⋮ Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads ⋮ A note on proper homothetic vector fields in plane symmetric perfect fluid static spacetimes in f(R, T) theory of gravity ⋮ Homothetic vector field in plane symmetric Bianchi type-I cosmological model in Lyra geometry

Cites Work

• Conformal groups and conformally equivalent isometry groups
• Axial-vector torsion and the teleparallel Kerr spacetime
• The classification of plane symmetric spacetimes by isometries
• Killing vectors of static spherically symmetric metrics
• Conformal symmetry of perfect fluids in general relativity
• TELEPARALLEL KILLING VECTORS OF THE EINSTEIN UNIVERSE
• Conformal vector fields in general relativity

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