Existence of conformal vector fields of Bianchi type I space-times in f(R) gravity
2020 ◽
Vol 17
(08)
◽
pp. 2050113
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Keyword(s):
Type I
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In this paper, Bianchi type I space-times in the [Formula: see text] theory of gravity are classified via conformal vector fields using algebraic and direct integration techniques. In this classification, we show that the conformal vector fields are of dimension four, five, six or fifteen. Additionally, we found that non-conformally flat Bianchi type I space-times admit conformal vector fields of dimension four, five or six. In the case of conformally flat or flat space-times, the dimension of the conformal vector fields is fifteen.
2020 ◽
Vol 17
(14)
◽
pp. 2050218
Keyword(s):
2020 ◽
Vol 17
(06)
◽
pp. 2050086
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Keyword(s):
2020 ◽
Vol 17
(08)
◽
pp. 2050120