Noether symmetries of Bianchi type I spacetimes via Rif tree approach
Keyword(s):
Type I
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In this paper, we have studied Noether symmetries of the general Bianchi type I spacetimes. The Lagrangian associated with the most general Bianchi type I metric is used to find the set of Noether symmetry equations. These equations are analyzed using an algorithm, developed in Maple, to get all possible Bianchi type I metrics admitting different Noether symmetries. The set of Noether symmetry equations is then solved for each metric to obtain the Noether symmetry algebras of dimensions 4, 5, 6 and 9.
2012 ◽
Vol 44
(8)
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pp. 1893-1917
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2020 ◽
Vol 1706
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pp. 012042