Teleparallel Killing Vectors of the Einstein Universe
M. Sharif, M. Jamil Amir
TL;DR
This paper defines the Lie derivative for tensors in teleparallel gravity and finds that the Killing vectors of the Einstein universe are identical to those in General Relativity.
Contribution
It introduces a new definition of the Lie derivative in teleparallel gravity and applies it to determine the Killing vectors of the Einstein universe.
Findings
Killing vectors in teleparallel gravity match those in General Relativity.
Extended the Lie derivative concept to tensors of arbitrary rank.
Confirmed equivalence of symmetries in both theories for 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 . 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.
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