https://doi.org/10.1140/epjc/s10052-022-10316-x
Regular Article - Theoretical Physics
Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries
1
Bayındır Neighborhood, 324 Street No:12, Muratpaşa, 07030, Antalya, Turkey
2
Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, 960-1296, Fukushima, Japan
Received:
26
January
2022
Accepted:
9
April
2022
Published online:
20
April
2022
The f(R) theory is considered for static cylindrically symmetric and plane-symmetric spacetimes. In order to find solutions to the field equations of these models, the Noether symmetry method is used. First, we examine the GR case for cylindrically symmetrical space-time with the dark energy state. Then, with the assumption of
, cases with matter and non-matter are examined and general solutions are determined for both space-times. Thus, it is shown that inclusive new solutions are obtained, considering the Noether symmetric conditions. In addition, the GR limit for each cases are examined.
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