English

Teleparallel Killing Vectors of the Einstein Universe

General Relativity and Quantum Cosmology 2008-11-26 v1

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+qp+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.

Keywords

Cite

@article{arxiv.0708.3558,
  title  = {Teleparallel Killing Vectors of the Einstein Universe},
  author = {M. Sharif and M. Jamil Amir},
  journal= {arXiv preprint arXiv:0708.3558},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:10:51.298Z