Teleparallel Killing Vectors of Spherically Symmetric Spacetimes

Abstract

In this paper, Killing vectors of spherically spacetimes have been evaluated in the context of teleparallel theory of gravitation. Further, we investigate the Killing vectors of the Friedmann metrics. It is found that for static spherically spacetimes the number of Killing vectors turn out to be \emph{seven} while for the Friedmann models, we obtain \emph{six} teleparallel Killing vectors. The results are then compared with those of General Relativity. We conclude that both of these descriptions of gravity do not provide the consistent results in general. However, these results may coincide under certain conditions for a particular spacetime.

14 pages, accepted for publication in Communications in Theoretical Physics

References in corpus (5)

• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Teleparallel Killing Vectors of the Einstein Universe
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
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• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity