Yayınlanmış 1 Ocak 2022 | Sürüm v1
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Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries

  • 1. Bayındır Neighborhood, 324 Street No:12, Muratpaşa, Antalya, 07030, Turkey
  • 2. Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan

Açıklama

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 $w=-1$ dark energy state. Then, with the assumption of $f\left(R\right)={f}_{0}{R}^{n}$ , 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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