Teleparallel Killing Vectors of the Einstein Universe

Details Teleparallel Killing Vectors of the Einstein Universe Teleparallel Killing Vectors of the Einstein Universe

2007-08-27

arxiv.org/abs/0708.3558v1

Mod.Phys.Lett.A23:963-969,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0217732308025474

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.

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