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- Title
Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries.
- Authors
Öz, Işıl Başaran; Bamba, Kazuharu
- Abstract
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 (R) = 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.
- Subjects
SYMMETRY; ENERGY policy; DARK energy; SPACETIME
- Publication
European Physical Journal C -- Particles & Fields, 2022, Vol 82, Issue 4, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-022-10316-x