Teleparallel Killing Vectors of the Einstein Universe

Abstract

In this short paper we establish the definition of the Lie derivative of a second rank tensor in the context of teleparallel theory of gravity and also extend it for a general tensor of rank $p+q$. This definition is then used to find Killing vectors of the Einstein universe. It turns out that Killing vectors of the Einstein universe in the teleparallel theory are the same as in General Relativity.

9 pages, accepted for publication in Mod. Phys. Lett. A

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Cited by in corpus (6)

• F(T) Models within Bianchi Type I Universe
• Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity
• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
• Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry
• Teleparallel Conformal Killing Vector Fields of LRS Bianchi Type V Spacetimes in Teleparallel Gravity
• On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry